Finding the Third Proportional to 8,519,377,737,120 and 17,275,817,111,134

Step by Step Solution

1. Step 1: Write the proportion equation
   8,519,377,737,120 : 17,275,817,111,134 = 17,275,817,111,134 : x
2. Step 2: Convert to fraction form
   8,519,377,737,120/17,275,817,111,134 = 17,275,817,111,134/x
3. Step 3: Cross multiply
   8,519,377,737,120x = 17,275,817,111,134 × 17,275,817,111,134
4. Step 4: Simplify right side
   8,519,377,737,120x = 298,453,856,857,350,307,498,164,224
5. Step 5: Solve for x
   x = 298,453,856,857,350,307,498,164,224/8,519,377,737,120
6. Step 6: Final answer
   x = 35,032,354,013,010.75