Finding the Third Proportional to 4,619.25 and 7,165.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,619.25 : 7,165.69 = 7,165.69 : x
2. Step 2: Convert to fraction form
   4,619.25/7,165.69 = 7,165.69/x
3. Step 3: Cross multiply
   4,619.25x = 7,165.69 × 7,165.69
4. Step 4: Simplify right side
   4,619.25x = 51,347,077.35
5. Step 5: Solve for x
   x = 51,347,077.35/4,619.25
6. Step 6: Final answer
   x = 11,115.89