Finding the Third Proportional to 31,723.88 and 75,155.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,723.88 : 75,155.63 = 75,155.63 : x
2. Step 2: Convert to fraction form
   31,723.88/75,155.63 = 75,155.63/x
3. Step 3: Cross multiply
   31,723.88x = 75,155.63 × 75,155.63
4. Step 4: Simplify right side
   31,723.88x = 5,648,367,969.14
5. Step 5: Solve for x
   x = 5,648,367,969.14/31,723.88
6. Step 6: Final answer
   x = 178,047.86