Finding the Third Proportional to 9,140 and 17,344

Step by Step Solution

1. Step 1: Write the proportion equation
   9,140 : 17,344 = 17,344 : x
2. Step 2: Convert to fraction form
   9,140/17,344 = 17,344/x
3. Step 3: Cross multiply
   9,140x = 17,344 × 17,344
4. Step 4: Simplify right side
   9,140x = 300,814,336
5. Step 5: Solve for x
   x = 300,814,336/9,140
6. Step 6: Final answer
   x = 32,911.85