Finding the Third Proportional to 31,728.75 and 75,167.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,728.75 : 75,167.25 = 75,167.25 : x
2. Step 2: Convert to fraction form
   31,728.75/75,167.25 = 75,167.25/x
3. Step 3: Cross multiply
   31,728.75x = 75,167.25 × 75,167.25
4. Step 4: Simplify right side
   31,728.75x = 5,650,115,472.56
5. Step 5: Solve for x
   x = 5,650,115,472.56/31,728.75
6. Step 6: Final answer
   x = 178,075.58