Finding the Third Proportional to 31,900 and 74,508

Step by Step Solution

1. Step 1: Write the proportion equation
   31,900 : 74,508 = 74,508 : x
2. Step 2: Convert to fraction form
   31,900/74,508 = 74,508/x
3. Step 3: Cross multiply
   31,900x = 74,508 × 74,508
4. Step 4: Simplify right side
   31,900x = 5,551,442,064
5. Step 5: Solve for x
   x = 5,551,442,064/31,900
6. Step 6: Final answer
   x = 174,026.40