Finding the Third Proportional to 3,437.72 and 5,164.17

Step by Step Solution

1. Step 1: Write the proportion equation
   3,437.72 : 5,164.17 = 5,164.17 : x
2. Step 2: Convert to fraction form
   3,437.72/5,164.17 = 5,164.17/x
3. Step 3: Cross multiply
   3,437.72x = 5,164.17 × 5,164.17
4. Step 4: Simplify right side
   3,437.72x = 26,668,671.15
5. Step 5: Solve for x
   x = 26,668,671.15/3,437.72
6. Step 6: Final answer
   x = 7,757.67