Finding the Third Proportional to 8,564 and 18,140

Step by Step Solution

1. Step 1: Write the proportion equation
   8,564 : 18,140 = 18,140 : x
2. Step 2: Convert to fraction form
   8,564/18,140 = 18,140/x
3. Step 3: Cross multiply
   8,564x = 18,140 × 18,140
4. Step 4: Simplify right side
   8,564x = 329,059,600
5. Step 5: Solve for x
   x = 329,059,600/8,564
6. Step 6: Final answer
   x = 38,423.59