Finding the Third Proportional to 31,993.50 and 74,376

Step by Step Solution

1. Step 1: Write the proportion equation
   31,993.50 : 74,376 = 74,376 : x
2. Step 2: Convert to fraction form
   31,993.50/74,376 = 74,376/x
3. Step 3: Cross multiply
   31,993.50x = 74,376 × 74,376
4. Step 4: Simplify right side
   31,993.50x = 5,531,789,376
5. Step 5: Solve for x
   x = 5,531,789,376/31,993.50
6. Step 6: Final answer
   x = 172,903.54