Finding the Third Proportional to 10,234 and 16,320

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234 : 16,320 = 16,320 : x
2. Step 2: Convert to fraction form
   10,234/16,320 = 16,320/x
3. Step 3: Cross multiply
   10,234x = 16,320 × 16,320
4. Step 4: Simplify right side
   10,234x = 266,342,400
5. Step 5: Solve for x
   x = 266,342,400/10,234
6. Step 6: Final answer
   x = 26,025.25