Finding the Third Proportional to 5,760 and 13,488

Step by Step Solution

1. Step 1: Write the proportion equation
   5,760 : 13,488 = 13,488 : x
2. Step 2: Convert to fraction form
   5,760/13,488 = 13,488/x
3. Step 3: Cross multiply
   5,760x = 13,488 × 13,488
4. Step 4: Simplify right side
   5,760x = 181,926,144
5. Step 5: Solve for x
   x = 181,926,144/5,760
6. Step 6: Final answer
   x = 31,584.40