Finding the Third Proportional to 34,271 and 52,743

Step by Step Solution

1. Step 1: Write the proportion equation
   34,271 : 52,743 = 52,743 : x
2. Step 2: Convert to fraction form
   34,271/52,743 = 52,743/x
3. Step 3: Cross multiply
   34,271x = 52,743 × 52,743
4. Step 4: Simplify right side
   34,271x = 2,781,824,049
5. Step 5: Solve for x
   x = 2,781,824,049/34,271
6. Step 6: Final answer
   x = 81,171.37