Finding the Third Proportional to 3,523.50 and 3,624.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,523.50 : 3,624.75 = 3,624.75 : x
2. Step 2: Convert to fraction form
   3,523.50/3,624.75 = 3,624.75/x
3. Step 3: Cross multiply
   3,523.50x = 3,624.75 × 3,624.75
4. Step 4: Simplify right side
   3,523.50x = 13,138,812.56
5. Step 5: Solve for x
   x = 13,138,812.56/3,523.50
6. Step 6: Final answer
   x = 3,728.91