Finding the Third Proportional to 5,832 and 8,498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,832 : 8,498.25 = 8,498.25 : x
2. Step 2: Convert to fraction form
   5,832/8,498.25 = 8,498.25/x
3. Step 3: Cross multiply
   5,832x = 8,498.25 × 8,498.25
4. Step 4: Simplify right side
   5,832x = 72,220,253.06
5. Step 5: Solve for x
   x = 72,220,253.06/5,832
6. Step 6: Final answer
   x = 12,383.45