Finding the Third Proportional to 11,520 and 15,300

Step by Step Solution

1. Step 1: Write the proportion equation
   11,520 : 15,300 = 15,300 : x
2. Step 2: Convert to fraction form
   11,520/15,300 = 15,300/x
3. Step 3: Cross multiply
   11,520x = 15,300 × 15,300
4. Step 4: Simplify right side
   11,520x = 234,090,000
5. Step 5: Solve for x
   x = 234,090,000/11,520
6. Step 6: Final answer
   x = 20,320.31