Finding the Third Proportional to 10,251 and 16,429

Step by Step Solution

1. Step 1: Write the proportion equation
   10,251 : 16,429 = 16,429 : x
2. Step 2: Convert to fraction form
   10,251/16,429 = 16,429/x
3. Step 3: Cross multiply
   10,251x = 16,429 × 16,429
4. Step 4: Simplify right side
   10,251x = 269,912,041
5. Step 5: Solve for x
   x = 269,912,041/10,251
6. Step 6: Final answer
   x = 26,330.31