Finding the Third Proportional to 13,644 and 20,862

Step by Step Solution

1. Step 1: Write the proportion equation
   13,644 : 20,862 = 20,862 : x
2. Step 2: Convert to fraction form
   13,644/20,862 = 20,862/x
3. Step 3: Cross multiply
   13,644x = 20,862 × 20,862
4. Step 4: Simplify right side
   13,644x = 435,223,044
5. Step 5: Solve for x
   x = 435,223,044/13,644
6. Step 6: Final answer
   x = 31,898.49