Finding the Third Proportional to 8,519,377,737,122 and 17,275,817,111,138

Step by Step Solution

1. Step 1: Write the proportion equation
   8,519,377,737,122 : 17,275,817,111,138 = 17,275,817,111,138 : x
2. Step 2: Convert to fraction form
   8,519,377,737,122/17,275,817,111,138 = 17,275,817,111,138/x
3. Step 3: Cross multiply
   8,519,377,737,122x = 17,275,817,111,138 × 17,275,817,111,138
4. Step 4: Simplify right side
   8,519,377,737,122x = 298,453,856,857,488,502,365,880,320
5. Step 5: Solve for x
   x = 298,453,856,857,488,502,365,880,320/8,519,377,737,122
6. Step 6: Final answer
   x = 35,032,354,013,018.75