Finding the Third Proportional to 14,404 and 22,406

Step by Step Solution

1. Step 1: Write the proportion equation
   14,404 : 22,406 = 22,406 : x
2. Step 2: Convert to fraction form
   14,404/22,406 = 22,406/x
3. Step 3: Cross multiply
   14,404x = 22,406 × 22,406
4. Step 4: Simplify right side
   14,404x = 502,028,836
5. Step 5: Solve for x
   x = 502,028,836/14,404
6. Step 6: Final answer
   x = 34,853.43