Finding the Third Proportional to 31,932 and 74,581

Step by Step Solution

1. Step 1: Write the proportion equation
   31,932 : 74,581 = 74,581 : x
2. Step 2: Convert to fraction form
   31,932/74,581 = 74,581/x
3. Step 3: Cross multiply
   31,932x = 74,581 × 74,581
4. Step 4: Simplify right side
   31,932x = 5,562,325,561
5. Step 5: Solve for x
   x = 5,562,325,561/31,932
6. Step 6: Final answer
   x = 174,192.83