Finding the Third Proportional to 27,765 and 62,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,765 : 62,498.50 = 62,498.50 : x
2. Step 2: Convert to fraction form
   27,765/62,498.50 = 62,498.50/x
3. Step 3: Cross multiply
   27,765x = 62,498.50 × 62,498.50
4. Step 4: Simplify right side
   27,765x = 3,906,062,502.25
5. Step 5: Solve for x
   x = 3,906,062,502.25/27,765
6. Step 6: Final answer
   x = 140,682.96