Finding the Third Proportional to 9,410 and 17,542

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410 : 17,542 = 17,542 : x
2. Step 2: Convert to fraction form
   9,410/17,542 = 17,542/x
3. Step 3: Cross multiply
   9,410x = 17,542 × 17,542
4. Step 4: Simplify right side
   9,410x = 307,721,764
5. Step 5: Solve for x
   x = 307,721,764/9,410
6. Step 6: Final answer
   x = 32,701.57