Finding the Third Proportional to 3,488.06 and 3,624.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,488.06 : 3,624.75 = 3,624.75 : x
2. Step 2: Convert to fraction form
   3,488.06/3,624.75 = 3,624.75/x
3. Step 3: Cross multiply
   3,488.06x = 3,624.75 × 3,624.75
4. Step 4: Simplify right side
   3,488.06x = 13,138,812.56
5. Step 5: Solve for x
   x = 13,138,812.56/3,488.06
6. Step 6: Final answer
   x = 3,766.79