Finding the Third Proportional to 1,002.75 and 1,861.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.75 : 1,861.25 = 1,861.25 : x
2. Step 2: Convert to fraction form
   1,002.75/1,861.25 = 1,861.25/x
3. Step 3: Cross multiply
   1,002.75x = 1,861.25 × 1,861.25
4. Step 4: Simplify right side
   1,002.75x = 3,464,251.56
5. Step 5: Solve for x
   x = 3,464,251.56/1,002.75
6. Step 6: Final answer
   x = 3,454.75