Finding the Third Proportional to 9,380 and 17,842

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380 : 17,842 = 17,842 : x
2. Step 2: Convert to fraction form
   9,380/17,842 = 17,842/x
3. Step 3: Cross multiply
   9,380x = 17,842 × 17,842
4. Step 4: Simplify right side
   9,380x = 318,336,964
5. Step 5: Solve for x
   x = 318,336,964/9,380
6. Step 6: Final answer
   x = 33,937.84