Finding the Third Proportional to 1,233.56 and 1,862.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233.56 : 1,862.16 = 1,862.16 : x
2. Step 2: Convert to fraction form
   1,233.56/1,862.16 = 1,862.16/x
3. Step 3: Cross multiply
   1,233.56x = 1,862.16 × 1,862.16
4. Step 4: Simplify right side
   1,233.56x = 3,467,625.90
5. Step 5: Solve for x
   x = 3,467,625.90/1,233.56
6. Step 6: Final answer
   x = 2,811.07