Finding the Third Proportional to 9,142 and 17,366

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142 : 17,366 = 17,366 : x
2. Step 2: Convert to fraction form
   9,142/17,366 = 17,366/x
3. Step 3: Cross multiply
   9,142x = 17,366 × 17,366
4. Step 4: Simplify right side
   9,142x = 301,577,956
5. Step 5: Solve for x
   x = 301,577,956/9,142
6. Step 6: Final answer
   x = 32,988.18