Finding the Third Proportional to 864 and 2,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   864 : 2,001.50 = 2,001.50 : x
2. Step 2: Convert to fraction form
   864/2,001.50 = 2,001.50/x
3. Step 3: Cross multiply
   864x = 2,001.50 × 2,001.50
4. Step 4: Simplify right side
   864x = 4,006,002.25
5. Step 5: Solve for x
   x = 4,006,002.25/864
6. Step 6: Final answer
   x = 4,636.58