Finding the Third Proportional to 11,606 and 13,280

Step by Step Solution

1. Step 1: Write the proportion equation
   11,606 : 13,280 = 13,280 : x
2. Step 2: Convert to fraction form
   11,606/13,280 = 13,280/x
3. Step 3: Cross multiply
   11,606x = 13,280 × 13,280
4. Step 4: Simplify right side
   11,606x = 176,358,400
5. Step 5: Solve for x
   x = 176,358,400/11,606
6. Step 6: Final answer
   x = 15,195.45