Finding the Third Proportional to 31,882 and 74,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,882 : 74,464.50 = 74,464.50 : x
2. Step 2: Convert to fraction form
   31,882/74,464.50 = 74,464.50/x
3. Step 3: Cross multiply
   31,882x = 74,464.50 × 74,464.50
4. Step 4: Simplify right side
   31,882x = 5,544,961,760.25
5. Step 5: Solve for x
   x = 5,544,961,760.25/31,882
6. Step 6: Final answer
   x = 173,921.39