Finding the Third Proportional to 25,612.50 and 59,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,612.50 : 59,272.50 = 59,272.50 : x
2. Step 2: Convert to fraction form
   25,612.50/59,272.50 = 59,272.50/x
3. Step 3: Cross multiply
   25,612.50x = 59,272.50 × 59,272.50
4. Step 4: Simplify right side
   25,612.50x = 3,513,229,256.25
5. Step 5: Solve for x
   x = 3,513,229,256.25/25,612.50
6. Step 6: Final answer
   x = 137,168.54