Finding the Third Proportional to 4,128,522,903,186 and 5,740,381,092,435

Step by Step Solution

1. Step 1: Write the proportion equation
   4,128,522,903,186 : 5,740,381,092,435 = 5,740,381,092,435 : x
2. Step 2: Convert to fraction form
   4,128,522,903,186/5,740,381,092,435 = 5,740,381,092,435/x
3. Step 3: Cross multiply
   4,128,522,903,186x = 5,740,381,092,435 × 5,740,381,092,435
4. Step 4: Simplify right side
   4,128,522,903,186x = 32,951,975,086,385,245,599,039,488
5. Step 5: Solve for x
   x = 32,951,975,086,385,245,599,039,488/4,128,522,903,186
6. Step 6: Final answer
   x = 7,981,541,064,228.09