Finding the Third Proportional to 1,012.82 and 1,746.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.82 : 1,746.56 = 1,746.56 : x
2. Step 2: Convert to fraction form
   1,012.82/1,746.56 = 1,746.56/x
3. Step 3: Cross multiply
   1,012.82x = 1,746.56 × 1,746.56
4. Step 4: Simplify right side
   1,012.82x = 3,050,480.57
5. Step 5: Solve for x
   x = 3,050,480.57/1,012.82
6. Step 6: Final answer
   x = 3,011.88