Finding the Third Proportional to 11,416 and 13,064

Step by Step Solution

1. Step 1: Write the proportion equation
   11,416 : 13,064 = 13,064 : x
2. Step 2: Convert to fraction form
   11,416/13,064 = 13,064/x
3. Step 3: Cross multiply
   11,416x = 13,064 × 13,064
4. Step 4: Simplify right side
   11,416x = 170,668,096
5. Step 5: Solve for x
   x = 170,668,096/11,416
6. Step 6: Final answer
   x = 14,949.90