Finding the Third Proportional to 13,644 and 18,522

Step by Step Solution

1. Step 1: Write the proportion equation
   13,644 : 18,522 = 18,522 : x
2. Step 2: Convert to fraction form
   13,644/18,522 = 18,522/x
3. Step 3: Cross multiply
   13,644x = 18,522 × 18,522
4. Step 4: Simplify right side
   13,644x = 343,064,484
5. Step 5: Solve for x
   x = 343,064,484/13,644
6. Step 6: Final answer
   x = 25,143.98