Finding the Third Proportional to 25,549.50 and 39,652.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,549.50 : 39,652.50 = 39,652.50 : x
2. Step 2: Convert to fraction form
   25,549.50/39,652.50 = 39,652.50/x
3. Step 3: Cross multiply
   25,549.50x = 39,652.50 × 39,652.50
4. Step 4: Simplify right side
   25,549.50x = 1,572,320,756.25
5. Step 5: Solve for x
   x = 1,572,320,756.25/25,549.50
6. Step 6: Final answer
   x = 61,540.18