Finding the Third Proportional to 11,616 and 13,248

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616 : 13,248 = 13,248 : x
2. Step 2: Convert to fraction form
   11,616/13,248 = 13,248/x
3. Step 3: Cross multiply
   11,616x = 13,248 × 13,248
4. Step 4: Simplify right side
   11,616x = 175,509,504
5. Step 5: Solve for x
   x = 175,509,504/11,616
6. Step 6: Final answer
   x = 15,109.29