Finding the Third Proportional to 8,519,377,737,124 and 17,275,817,111,142

Step by Step Solution

1. Step 1: Write the proportion equation
   8,519,377,737,124 : 17,275,817,111,142 = 17,275,817,111,142 : x
2. Step 2: Convert to fraction form
   8,519,377,737,124/17,275,817,111,142 = 17,275,817,111,142/x
3. Step 3: Cross multiply
   8,519,377,737,124x = 17,275,817,111,142 × 17,275,817,111,142
4. Step 4: Simplify right side
   8,519,377,737,124x = 298,453,856,857,626,731,593,334,784
5. Step 5: Solve for x
   x = 298,453,856,857,626,731,593,334,784/8,519,377,737,124
6. Step 6: Final answer
   x = 35,032,354,013,026.75