Finding the Third Proportional to 25,665 and 39,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,665 : 39,724.50 = 39,724.50 : x
2. Step 2: Convert to fraction form
   25,665/39,724.50 = 39,724.50/x
3. Step 3: Cross multiply
   25,665x = 39,724.50 × 39,724.50
4. Step 4: Simplify right side
   25,665x = 1,578,035,900.25
5. Step 5: Solve for x
   x = 1,578,035,900.25/25,665
6. Step 6: Final answer
   x = 61,485.91