Finding the Third Proportional to 1,200.94 and 1,854.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.94 : 1,854.56 = 1,854.56 : x
2. Step 2: Convert to fraction form
   1,200.94/1,854.56 = 1,854.56/x
3. Step 3: Cross multiply
   1,200.94x = 1,854.56 × 1,854.56
4. Step 4: Simplify right side
   1,200.94x = 3,439,402.07
5. Step 5: Solve for x
   x = 3,439,402.07/1,200.94
6. Step 6: Final answer
   x = 2,863.93