Finding the Third Proportional to 8,564 and 13,280

Step by Step Solution

1. Step 1: Write the proportion equation
   8,564 : 13,280 = 13,280 : x
2. Step 2: Convert to fraction form
   8,564/13,280 = 13,280/x
3. Step 3: Cross multiply
   8,564x = 13,280 × 13,280
4. Step 4: Simplify right side
   8,564x = 176,358,400
5. Step 5: Solve for x
   x = 176,358,400/8,564
6. Step 6: Final answer
   x = 20,592.99