Finding the Third Proportional to 12,564 and 20,082

Step by Step Solution

1. Step 1: Write the proportion equation
   12,564 : 20,082 = 20,082 : x
2. Step 2: Convert to fraction form
   12,564/20,082 = 20,082/x
3. Step 3: Cross multiply
   12,564x = 20,082 × 20,082
4. Step 4: Simplify right side
   12,564x = 403,286,724
5. Step 5: Solve for x
   x = 403,286,724/12,564
6. Step 6: Final answer
   x = 32,098.59