Finding the Third Proportional to 14,150 and 21,677

Step by Step Solution

1. Step 1: Write the proportion equation
   14,150 : 21,677 = 21,677 : x
2. Step 2: Convert to fraction form
   14,150/21,677 = 21,677/x
3. Step 3: Cross multiply
   14,150x = 21,677 × 21,677
4. Step 4: Simplify right side
   14,150x = 469,892,329
5. Step 5: Solve for x
   x = 469,892,329/14,150
6. Step 6: Final answer
   x = 33,207.94