Finding the Third Proportional to 1,218.80 and 1,862.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,218.80 : 1,862.37 = 1,862.37 : x
2. Step 2: Convert to fraction form
   1,218.80/1,862.37 = 1,862.37/x
3. Step 3: Cross multiply
   1,218.80x = 1,862.37 × 1,862.37
4. Step 4: Simplify right side
   1,218.80x = 3,468,411.54
5. Step 5: Solve for x
   x = 3,468,411.54/1,218.80
6. Step 6: Final answer
   x = 2,845.77