Finding the Third Proportional to 8,464 and 13,800

Step by Step Solution

1. Step 1: Write the proportion equation
   8,464 : 13,800 = 13,800 : x
2. Step 2: Convert to fraction form
   8,464/13,800 = 13,800/x
3. Step 3: Cross multiply
   8,464x = 13,800 × 13,800
4. Step 4: Simplify right side
   8,464x = 190,440,000
5. Step 5: Solve for x
   x = 190,440,000/8,464
6. Step 6: Final answer
   x = 22,500