Finding the Third Proportional to 3,736 and 5,279.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,736 : 5,279.50 = 5,279.50 : x
2. Step 2: Convert to fraction form
   3,736/5,279.50 = 5,279.50/x
3. Step 3: Cross multiply
   3,736x = 5,279.50 × 5,279.50
4. Step 4: Simplify right side
   3,736x = 27,873,120.25
5. Step 5: Solve for x
   x = 27,873,120.25/3,736
6. Step 6: Final answer
   x = 7,460.69