Finding the Third Proportional to 856.50 and 2,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   856.50 : 2,002.50 = 2,002.50 : x
2. Step 2: Convert to fraction form
   856.50/2,002.50 = 2,002.50/x
3. Step 3: Cross multiply
   856.50x = 2,002.50 × 2,002.50
4. Step 4: Simplify right side
   856.50x = 4,010,006.25
5. Step 5: Solve for x
   x = 4,010,006.25/856.50
6. Step 6: Final answer
   x = 4,681.85