Finding the Third Proportional to 18,384 and 32,040

Step by Step Solution

1. Step 1: Write the proportion equation
   18,384 : 32,040 = 32,040 : x
2. Step 2: Convert to fraction form
   18,384/32,040 = 32,040/x
3. Step 3: Cross multiply
   18,384x = 32,040 × 32,040
4. Step 4: Simplify right side
   18,384x = 1,026,561,600
5. Step 5: Solve for x
   x = 1,026,561,600/18,384
6. Step 6: Final answer
   x = 55,839.95