Finding the Third Proportional to 644 and 1,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   644 : 1,333.50 = 1,333.50 : x
2. Step 2: Convert to fraction form
   644/1,333.50 = 1,333.50/x
3. Step 3: Cross multiply
   644x = 1,333.50 × 1,333.50
4. Step 4: Simplify right side
   644x = 1,778,222.25
5. Step 5: Solve for x
   x = 1,778,222.25/644
6. Step 6: Final answer
   x = 2,761.21