Finding the Third Proportional to 14,314 and 21,898

Step by Step Solution

1. Step 1: Write the proportion equation
   14,314 : 21,898 = 21,898 : x
2. Step 2: Convert to fraction form
   14,314/21,898 = 21,898/x
3. Step 3: Cross multiply
   14,314x = 21,898 × 21,898
4. Step 4: Simplify right side
   14,314x = 479,522,404
5. Step 5: Solve for x
   x = 479,522,404/14,314
6. Step 6: Final answer
   x = 33,500.24