Finding the Third Proportional to 25,165.50 and 39,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,165.50 : 39,814.50 = 39,814.50 : x
2. Step 2: Convert to fraction form
   25,165.50/39,814.50 = 39,814.50/x
3. Step 3: Cross multiply
   25,165.50x = 39,814.50 × 39,814.50
4. Step 4: Simplify right side
   25,165.50x = 1,585,194,410.25
5. Step 5: Solve for x
   x = 1,585,194,410.25/25,165.50
6. Step 6: Final answer
   x = 62,990.78