Finding the Third Proportional to 746.06 and 1,635.56

Step by Step Solution

1. Step 1: Write the proportion equation
   746.06 : 1,635.56 = 1,635.56 : x
2. Step 2: Convert to fraction form
   746.06/1,635.56 = 1,635.56/x
3. Step 3: Cross multiply
   746.06x = 1,635.56 × 1,635.56
4. Step 4: Simplify right side
   746.06x = 2,675,064.69
5. Step 5: Solve for x
   x = 2,675,064.69/746.06
6. Step 6: Final answer
   x = 3,585.58