Finding the Third Proportional to 3,527.50 and 5,180

Step by Step Solution

1. Step 1: Write the proportion equation
   3,527.50 : 5,180 = 5,180 : x
2. Step 2: Convert to fraction form
   3,527.50/5,180 = 5,180/x
3. Step 3: Cross multiply
   3,527.50x = 5,180 × 5,180
4. Step 4: Simplify right side
   3,527.50x = 26,832,400
5. Step 5: Solve for x
   x = 26,832,400/3,527.50
6. Step 6: Final answer
   x = 7,606.63