Finding the Third Proportional to 31,959 and 74,646

Step by Step Solution

1. Step 1: Write the proportion equation
   31,959 : 74,646 = 74,646 : x
2. Step 2: Convert to fraction form
   31,959/74,646 = 74,646/x
3. Step 3: Cross multiply
   31,959x = 74,646 × 74,646
4. Step 4: Simplify right side
   31,959x = 5,572,025,316
5. Step 5: Solve for x
   x = 5,572,025,316/31,959
6. Step 6: Final answer
   x = 174,349.18