Finding the Third Proportional to 868.50 and 2,036.25

Step by Step Solution

1. Step 1: Write the proportion equation
   868.50 : 2,036.25 = 2,036.25 : x
2. Step 2: Convert to fraction form
   868.50/2,036.25 = 2,036.25/x
3. Step 3: Cross multiply
   868.50x = 2,036.25 × 2,036.25
4. Step 4: Simplify right side
   868.50x = 4,146,314.06
5. Step 5: Solve for x
   x = 4,146,314.06/868.50
6. Step 6: Final answer
   x = 4,774.11