Finding the Third Proportional to 8,230 and 17,800

Step by Step Solution

1. Step 1: Write the proportion equation
   8,230 : 17,800 = 17,800 : x
2. Step 2: Convert to fraction form
   8,230/17,800 = 17,800/x
3. Step 3: Cross multiply
   8,230x = 17,800 × 17,800
4. Step 4: Simplify right side
   8,230x = 316,840,000
5. Step 5: Solve for x
   x = 316,840,000/8,230
6. Step 6: Final answer
   x = 38,498.18