Finding the Third Proportional to 25,920 and 39,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,920 : 39,649.50 = 39,649.50 : x
2. Step 2: Convert to fraction form
   25,920/39,649.50 = 39,649.50/x
3. Step 3: Cross multiply
   25,920x = 39,649.50 × 39,649.50
4. Step 4: Simplify right side
   25,920x = 1,572,082,850.25
5. Step 5: Solve for x
   x = 1,572,082,850.25/25,920
6. Step 6: Final answer
   x = 60,651.34