Finding the Third Proportional to 11,462 and 16,360

Step by Step Solution

1. Step 1: Write the proportion equation
   11,462 : 16,360 = 16,360 : x
2. Step 2: Convert to fraction form
   11,462/16,360 = 16,360/x
3. Step 3: Cross multiply
   11,462x = 16,360 × 16,360
4. Step 4: Simplify right side
   11,462x = 267,649,600
5. Step 5: Solve for x
   x = 267,649,600/11,462
6. Step 6: Final answer
   x = 23,351.04