Finding the Third Proportional to 746 and 1,606.25

Step by Step Solution

1. Step 1: Write the proportion equation
   746 : 1,606.25 = 1,606.25 : x
2. Step 2: Convert to fraction form
   746/1,606.25 = 1,606.25/x
3. Step 3: Cross multiply
   746x = 1,606.25 × 1,606.25
4. Step 4: Simplify right side
   746x = 2,580,039.06
5. Step 5: Solve for x
   x = 2,580,039.06/746
6. Step 6: Final answer
   x = 3,458.50