Finding the Third Proportional to 14,114 and 21,980

Step by Step Solution

1. Step 1: Write the proportion equation
   14,114 : 21,980 = 21,980 : x
2. Step 2: Convert to fraction form
   14,114/21,980 = 21,980/x
3. Step 3: Cross multiply
   14,114x = 21,980 × 21,980
4. Step 4: Simplify right side
   14,114x = 483,120,400
5. Step 5: Solve for x
   x = 483,120,400/14,114
6. Step 6: Final answer
   x = 34,229.87