Finding the Third Proportional to 25,545 and 35,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,545 : 35,761.50 = 35,761.50 : x
2. Step 2: Convert to fraction form
   25,545/35,761.50 = 35,761.50/x
3. Step 3: Cross multiply
   25,545x = 35,761.50 × 35,761.50
4. Step 4: Simplify right side
   25,545x = 1,278,884,882.25
5. Step 5: Solve for x
   x = 1,278,884,882.25/25,545
6. Step 6: Final answer
   x = 50,064.00