Finding the Third Proportional to 8,564 and 13,145

Step by Step Solution

1. Step 1: Write the proportion equation
   8,564 : 13,145 = 13,145 : x
2. Step 2: Convert to fraction form
   8,564/13,145 = 13,145/x
3. Step 3: Cross multiply
   8,564x = 13,145 × 13,145
4. Step 4: Simplify right side
   8,564x = 172,791,025
5. Step 5: Solve for x
   x = 172,791,025/8,564
6. Step 6: Final answer
   x = 20,176.44