Finding the Third Proportional to 4,296 and 5,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,296 : 5,065.50 = 5,065.50 : x
2. Step 2: Convert to fraction form
   4,296/5,065.50 = 5,065.50/x
3. Step 3: Cross multiply
   4,296x = 5,065.50 × 5,065.50
4. Step 4: Simplify right side
   4,296x = 25,659,290.25
5. Step 5: Solve for x
   x = 25,659,290.25/4,296
6. Step 6: Final answer
   x = 5,972.83