Finding the Third Proportional to 13,842 and 21,024

Step by Step Solution

1. Step 1: Write the proportion equation
   13,842 : 21,024 = 21,024 : x
2. Step 2: Convert to fraction form
   13,842/21,024 = 21,024/x
3. Step 3: Cross multiply
   13,842x = 21,024 × 21,024
4. Step 4: Simplify right side
   13,842x = 442,008,576
5. Step 5: Solve for x
   x = 442,008,576/13,842
6. Step 6: Final answer
   x = 31,932.42