Finding the Third Proportional to 7,192 and 9,456

Step by Step Solution

1. Step 1: Write the proportion equation
   7,192 : 9,456 = 9,456 : x
2. Step 2: Convert to fraction form
   7,192/9,456 = 9,456/x
3. Step 3: Cross multiply
   7,192x = 9,456 × 9,456
4. Step 4: Simplify right side
   7,192x = 89,415,936
5. Step 5: Solve for x
   x = 89,415,936/7,192
6. Step 6: Final answer
   x = 12,432.69