Finding the Third Proportional to 31,716.56 and 75,008.53

Step by Step Solution

1. Step 1: Write the proportion equation
   31,716.56 : 75,008.53 = 75,008.53 : x
2. Step 2: Convert to fraction form
   31,716.56/75,008.53 = 75,008.53/x
3. Step 3: Cross multiply
   31,716.56x = 75,008.53 × 75,008.53
4. Step 4: Simplify right side
   31,716.56x = 5,626,279,760.28
5. Step 5: Solve for x
   x = 5,626,279,760.28/31,716.56
6. Step 6: Final answer
   x = 177,392.48