Finding the Third Proportional to 5,461.75 and 8,237.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,461.75 : 8,237.38 = 8,237.38 : x
2. Step 2: Convert to fraction form
   5,461.75/8,237.38 = 8,237.38/x
3. Step 3: Cross multiply
   5,461.75x = 8,237.38 × 8,237.38
4. Step 4: Simplify right side
   5,461.75x = 67,854,346.89
5. Step 5: Solve for x
   x = 67,854,346.89/5,461.75
6. Step 6: Final answer
   x = 12,423.55