Finding the Third Proportional to 11,664 and 24,300

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664 : 24,300 = 24,300 : x
2. Step 2: Convert to fraction form
   11,664/24,300 = 24,300/x
3. Step 3: Cross multiply
   11,664x = 24,300 × 24,300
4. Step 4: Simplify right side
   11,664x = 590,490,000
5. Step 5: Solve for x
   x = 590,490,000/11,664
6. Step 6: Final answer
   x = 50,625