Finding the Third Proportional to 31,852 and 74,380

Step by Step Solution

1. Step 1: Write the proportion equation
   31,852 : 74,380 = 74,380 : x
2. Step 2: Convert to fraction form
   31,852/74,380 = 74,380/x
3. Step 3: Cross multiply
   31,852x = 74,380 × 74,380
4. Step 4: Simplify right side
   31,852x = 5,532,384,400
5. Step 5: Solve for x
   x = 5,532,384,400/31,852
6. Step 6: Final answer
   x = 173,690.33