Finding the Third Proportional to 860 and 2,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   860 : 2,024.50 = 2,024.50 : x
2. Step 2: Convert to fraction form
   860/2,024.50 = 2,024.50/x
3. Step 3: Cross multiply
   860x = 2,024.50 × 2,024.50
4. Step 4: Simplify right side
   860x = 4,098,600.25
5. Step 5: Solve for x
   x = 4,098,600.25/860
6. Step 6: Final answer
   x = 4,765.81