Finding the Third Proportional to 12,806 and 20,532

Step by Step Solution

1. Step 1: Write the proportion equation
   12,806 : 20,532 = 20,532 : x
2. Step 2: Convert to fraction form
   12,806/20,532 = 20,532/x
3. Step 3: Cross multiply
   12,806x = 20,532 × 20,532
4. Step 4: Simplify right side
   12,806x = 421,563,024
5. Step 5: Solve for x
   x = 421,563,024/12,806
6. Step 6: Final answer
   x = 32,919.18