Finding the Third Proportional to 12,196 and 14,468

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196 : 14,468 = 14,468 : x
2. Step 2: Convert to fraction form
   12,196/14,468 = 14,468/x
3. Step 3: Cross multiply
   12,196x = 14,468 × 14,468
4. Step 4: Simplify right side
   12,196x = 209,323,024
5. Step 5: Solve for x
   x = 209,323,024/12,196
6. Step 6: Final answer
   x = 17,163.25