Finding the Third Proportional to 8,400 and 9,144

Step by Step Solution

1. Step 1: Write the proportion equation
   8,400 : 9,144 = 9,144 : x
2. Step 2: Convert to fraction form
   8,400/9,144 = 9,144/x
3. Step 3: Cross multiply
   8,400x = 9,144 × 9,144
4. Step 4: Simplify right side
   8,400x = 83,612,736
5. Step 5: Solve for x
   x = 83,612,736/8,400
6. Step 6: Final answer
   x = 9,953.90