Finding the Third Proportional to 32,971 and 52,419

Step by Step Solution

1. Step 1: Write the proportion equation
   32,971 : 52,419 = 52,419 : x
2. Step 2: Convert to fraction form
   32,971/52,419 = 52,419/x
3. Step 3: Cross multiply
   32,971x = 52,419 × 52,419
4. Step 4: Simplify right side
   32,971x = 2,747,751,561
5. Step 5: Solve for x
   x = 2,747,751,561/32,971
6. Step 6: Final answer
   x = 83,338.44