Finding the Third Proportional to 632 and 1,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   632 : 1,338.50 = 1,338.50 : x
2. Step 2: Convert to fraction form
   632/1,338.50 = 1,338.50/x
3. Step 3: Cross multiply
   632x = 1,338.50 × 1,338.50
4. Step 4: Simplify right side
   632x = 1,791,582.25
5. Step 5: Solve for x
   x = 1,791,582.25/632
6. Step 6: Final answer
   x = 2,834.78