Finding the Third Proportional to 9,340 and 17,762

Step by Step Solution

1. Step 1: Write the proportion equation
   9,340 : 17,762 = 17,762 : x
2. Step 2: Convert to fraction form
   9,340/17,762 = 17,762/x
3. Step 3: Cross multiply
   9,340x = 17,762 × 17,762
4. Step 4: Simplify right side
   9,340x = 315,488,644
5. Step 5: Solve for x
   x = 315,488,644/9,340
6. Step 6: Final answer
   x = 33,778.23