Finding the Third Proportional to 5,301.50 and 7,789

Step by Step Solution

1. Step 1: Write the proportion equation
   5,301.50 : 7,789 = 7,789 : x
2. Step 2: Convert to fraction form
   5,301.50/7,789 = 7,789/x
3. Step 3: Cross multiply
   5,301.50x = 7,789 × 7,789
4. Step 4: Simplify right side
   5,301.50x = 60,668,521
5. Step 5: Solve for x
   x = 60,668,521/5,301.50
6. Step 6: Final answer
   x = 11,443.65