Finding the Third Proportional to 2,530,388,852,334 and 3,854,785,971,150

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530,388,852,334 : 3,854,785,971,150 = 3,854,785,971,150 : x
2. Step 2: Convert to fraction form
   2,530,388,852,334/3,854,785,971,150 = 3,854,785,971,150/x
3. Step 3: Cross multiply
   2,530,388,852,334x = 3,854,785,971,150 × 3,854,785,971,150
4. Step 4: Simplify right side
   2,530,388,852,334x = 14,859,374,883,374,848,813,301,760
5. Step 5: Solve for x
   x = 14,859,374,883,374,848,813,301,760/2,530,388,852,334
6. Step 6: Final answer
   x = 5,872,368,142,022.42