Finding the Third Proportional to 14,384 and 22,216

Step by Step Solution

1. Step 1: Write the proportion equation
   14,384 : 22,216 = 22,216 : x
2. Step 2: Convert to fraction form
   14,384/22,216 = 22,216/x
3. Step 3: Cross multiply
   14,384x = 22,216 × 22,216
4. Step 4: Simplify right side
   14,384x = 493,550,656
5. Step 5: Solve for x
   x = 493,550,656/14,384
6. Step 6: Final answer
   x = 34,312.48