Finding the Third Proportional to 11,664 and 13,122

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664 : 13,122 = 13,122 : x
2. Step 2: Convert to fraction form
   11,664/13,122 = 13,122/x
3. Step 3: Cross multiply
   11,664x = 13,122 × 13,122
4. Step 4: Simplify right side
   11,664x = 172,186,884
5. Step 5: Solve for x
   x = 172,186,884/11,664
6. Step 6: Final answer
   x = 14,762.25