Finding the Third Proportional to 14,414 and 22,222

Step by Step Solution

1. Step 1: Write the proportion equation
   14,414 : 22,222 = 22,222 : x
2. Step 2: Convert to fraction form
   14,414/22,222 = 22,222/x
3. Step 3: Cross multiply
   14,414x = 22,222 × 22,222
4. Step 4: Simplify right side
   14,414x = 493,817,284
5. Step 5: Solve for x
   x = 493,817,284/14,414
6. Step 6: Final answer
   x = 34,259.56