Finding the Third Proportional to 3,382.50 and 7,899.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,382.50 : 7,899.75 = 7,899.75 : x
2. Step 2: Convert to fraction form
   3,382.50/7,899.75 = 7,899.75/x
3. Step 3: Cross multiply
   3,382.50x = 7,899.75 × 7,899.75
4. Step 4: Simplify right side
   3,382.50x = 62,406,050.06
5. Step 5: Solve for x
   x = 62,406,050.06/3,382.50
6. Step 6: Final answer
   x = 18,449.68