Finding the Third Proportional to 34,570 and 53,474

Step by Step Solution

1. Step 1: Write the proportion equation
   34,570 : 53,474 = 53,474 : x
2. Step 2: Convert to fraction form
   34,570/53,474 = 53,474/x
3. Step 3: Cross multiply
   34,570x = 53,474 × 53,474
4. Step 4: Simplify right side
   34,570x = 2,859,468,676
5. Step 5: Solve for x
   x = 2,859,468,676/34,570
6. Step 6: Final answer
   x = 82,715.32