Finding the Third Proportional to 34,386 and 71,931

Step by Step Solution

1. Step 1: Write the proportion equation
   34,386 : 71,931 = 71,931 : x
2. Step 2: Convert to fraction form
   34,386/71,931 = 71,931/x
3. Step 3: Cross multiply
   34,386x = 71,931 × 71,931
4. Step 4: Simplify right side
   34,386x = 5,174,068,761
5. Step 5: Solve for x
   x = 5,174,068,761/34,386
6. Step 6: Final answer
   x = 150,470.21