Finding the Third Proportional to 32,251.88 and 75,885.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,251.88 : 75,885.75 = 75,885.75 : x
2. Step 2: Convert to fraction form
   32,251.88/75,885.75 = 75,885.75/x
3. Step 3: Cross multiply
   32,251.88x = 75,885.75 × 75,885.75
4. Step 4: Simplify right side
   32,251.88x = 5,758,647,053.06
5. Step 5: Solve for x
   x = 5,758,647,053.06/32,251.88
6. Step 6: Final answer
   x = 178,552.32