Finding the Third Proportional to 13,642 and 21,065

Step by Step Solution

1. Step 1: Write the proportion equation
   13,642 : 21,065 = 21,065 : x
2. Step 2: Convert to fraction form
   13,642/21,065 = 21,065/x
3. Step 3: Cross multiply
   13,642x = 21,065 × 21,065
4. Step 4: Simplify right side
   13,642x = 443,734,225
5. Step 5: Solve for x
   x = 443,734,225/13,642
6. Step 6: Final answer
   x = 32,527.07