Finding the Third Proportional to 4,326 and 5,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,326 : 5,782.50 = 5,782.50 : x
2. Step 2: Convert to fraction form
   4,326/5,782.50 = 5,782.50/x
3. Step 3: Cross multiply
   4,326x = 5,782.50 × 5,782.50
4. Step 4: Simplify right side
   4,326x = 33,437,306.25
5. Step 5: Solve for x
   x = 33,437,306.25/4,326
6. Step 6: Final answer
   x = 7,729.38