Finding the Third Proportional to 14,384 and 21,486

Step by Step Solution

1. Step 1: Write the proportion equation
   14,384 : 21,486 = 21,486 : x
2. Step 2: Convert to fraction form
   14,384/21,486 = 21,486/x
3. Step 3: Cross multiply
   14,384x = 21,486 × 21,486
4. Step 4: Simplify right side
   14,384x = 461,648,196
5. Step 5: Solve for x
   x = 461,648,196/14,384
6. Step 6: Final answer
   x = 32,094.56