Finding the Third Proportional to 4,789.50 and 7,026

Step by Step Solution

1. Step 1: Write the proportion equation
   4,789.50 : 7,026 = 7,026 : x
2. Step 2: Convert to fraction form
   4,789.50/7,026 = 7,026/x
3. Step 3: Cross multiply
   4,789.50x = 7,026 × 7,026
4. Step 4: Simplify right side
   4,789.50x = 49,364,676
5. Step 5: Solve for x
   x = 49,364,676/4,789.50
6. Step 6: Final answer
   x = 10,306.85