Finding the Third Proportional to 32,971 and 71,414

Step by Step Solution

1. Step 1: Write the proportion equation
   32,971 : 71,414 = 71,414 : x
2. Step 2: Convert to fraction form
   32,971/71,414 = 71,414/x
3. Step 3: Cross multiply
   32,971x = 71,414 × 71,414
4. Step 4: Simplify right side
   32,971x = 5,099,959,396
5. Step 5: Solve for x
   x = 5,099,959,396/32,971
6. Step 6: Final answer
   x = 154,680.16