Finding the Third Proportional to 1,146.66 and 1,395.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.66 : 1,395.56 = 1,395.56 : x
2. Step 2: Convert to fraction form
   1,146.66/1,395.56 = 1,395.56/x
3. Step 3: Cross multiply
   1,146.66x = 1,395.56 × 1,395.56
4. Step 4: Simplify right side
   1,146.66x = 1,947,594.69
5. Step 5: Solve for x
   x = 1,947,594.69/1,146.66
6. Step 6: Final answer
   x = 1,698.50