Finding the Third Proportional to 1,046.25 and 1,395.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.25 : 1,395.56 = 1,395.56 : x
2. Step 2: Convert to fraction form
   1,046.25/1,395.56 = 1,395.56/x
3. Step 3: Cross multiply
   1,046.25x = 1,395.56 × 1,395.56
4. Step 4: Simplify right side
   1,046.25x = 1,947,594.69
5. Step 5: Solve for x
   x = 1,947,594.69/1,046.25
6. Step 6: Final answer
   x = 1,861.50