Finding the Third Proportional to 633 and 1,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   633 : 1,345.50 = 1,345.50 : x
2. Step 2: Convert to fraction form
   633/1,345.50 = 1,345.50/x
3. Step 3: Cross multiply
   633x = 1,345.50 × 1,345.50
4. Step 4: Simplify right side
   633x = 1,810,370.25
5. Step 5: Solve for x
   x = 1,810,370.25/633
6. Step 6: Final answer
   x = 2,859.98