Finding the Third Proportional to 4,100 and 5,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,100 : 5,501.50 = 5,501.50 : x
2. Step 2: Convert to fraction form
   4,100/5,501.50 = 5,501.50/x
3. Step 3: Cross multiply
   4,100x = 5,501.50 × 5,501.50
4. Step 4: Simplify right side
   4,100x = 30,266,502.25
5. Step 5: Solve for x
   x = 30,266,502.25/4,100
6. Step 6: Final answer
   x = 7,382.07