Finding the Third Proportional to 34,616.25 and 75,639.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,616.25 : 75,639.75 = 75,639.75 : x
2. Step 2: Convert to fraction form
   34,616.25/75,639.75 = 75,639.75/x
3. Step 3: Cross multiply
   34,616.25x = 75,639.75 × 75,639.75
4. Step 4: Simplify right side
   34,616.25x = 5,721,371,780.06
5. Step 5: Solve for x
   x = 5,721,371,780.06/34,616.25
6. Step 6: Final answer
   x = 165,279.94