Finding the Third Proportional to 746.38 and 1,629.38

Step by Step Solution

1. Step 1: Write the proportion equation
   746.38 : 1,629.38 = 1,629.38 : x
2. Step 2: Convert to fraction form
   746.38/1,629.38 = 1,629.38/x
3. Step 3: Cross multiply
   746.38x = 1,629.38 × 1,629.38
4. Step 4: Simplify right side
   746.38x = 2,654,862.89
5. Step 5: Solve for x
   x = 2,654,862.89/746.38
6. Step 6: Final answer
   x = 3,557.01