Finding the Third Proportional to 5,123.25 and 8,251.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,123.25 : 8,251.88 = 8,251.88 : x
2. Step 2: Convert to fraction form
   5,123.25/8,251.88 = 8,251.88/x
3. Step 3: Cross multiply
   5,123.25x = 8,251.88 × 8,251.88
4. Step 4: Simplify right side
   5,123.25x = 68,093,441.02
5. Step 5: Solve for x
   x = 68,093,441.02/5,123.25
6. Step 6: Final answer
   x = 13,291.06