Finding the Third Proportional to 12,224 and 13,280

Step by Step Solution

1. Step 1: Write the proportion equation
   12,224 : 13,280 = 13,280 : x
2. Step 2: Convert to fraction form
   12,224/13,280 = 13,280/x
3. Step 3: Cross multiply
   12,224x = 13,280 × 13,280
4. Step 4: Simplify right side
   12,224x = 176,358,400
5. Step 5: Solve for x
   x = 176,358,400/12,224
6. Step 6: Final answer
   x = 14,427.23