Finding the Third Proportional to 4,159.50 and 5,699.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,159.50 : 5,699.25 = 5,699.25 : x
2. Step 2: Convert to fraction form
   4,159.50/5,699.25 = 5,699.25/x
3. Step 3: Cross multiply
   4,159.50x = 5,699.25 × 5,699.25
4. Step 4: Simplify right side
   4,159.50x = 32,481,450.56
5. Step 5: Solve for x
   x = 32,481,450.56/4,159.50
6. Step 6: Final answer
   x = 7,808.98