Finding the Third Proportional to 11,520 and 19,320

Step by Step Solution

1. Step 1: Write the proportion equation
   11,520 : 19,320 = 19,320 : x
2. Step 2: Convert to fraction form
   11,520/19,320 = 19,320/x
3. Step 3: Cross multiply
   11,520x = 19,320 × 19,320
4. Step 4: Simplify right side
   11,520x = 373,262,400
5. Step 5: Solve for x
   x = 373,262,400/11,520
6. Step 6: Final answer
   x = 32,401.25