Finding the Third Proportional to 7,076 and 9,384

Step by Step Solution

1. Step 1: Write the proportion equation
   7,076 : 9,384 = 9,384 : x
2. Step 2: Convert to fraction form
   7,076/9,384 = 9,384/x
3. Step 3: Cross multiply
   7,076x = 9,384 × 9,384
4. Step 4: Simplify right side
   7,076x = 88,059,456
5. Step 5: Solve for x
   x = 88,059,456/7,076
6. Step 6: Final answer
   x = 12,444.81