Finding the Third Proportional to 2,234 and 5,651

Step by Step Solution

1. Step 1: Write the proportion equation
   2,234 : 5,651 = 5,651 : x
2. Step 2: Convert to fraction form
   2,234/5,651 = 5,651/x
3. Step 3: Cross multiply
   2,234x = 5,651 × 5,651
4. Step 4: Simplify right side
   2,234x = 31,933,801
5. Step 5: Solve for x
   x = 31,933,801/2,234
6. Step 6: Final answer
   x = 14,294.45