Finding the Third Proportional to 1,223.06 and 1,858.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,223.06 : 1,858.03 = 1,858.03 : x
2. Step 2: Convert to fraction form
   1,223.06/1,858.03 = 1,858.03/x
3. Step 3: Cross multiply
   1,223.06x = 1,858.03 × 1,858.03
4. Step 4: Simplify right side
   1,223.06x = 3,452,280.13
5. Step 5: Solve for x
   x = 3,452,280.13/1,223.06
6. Step 6: Final answer
   x = 2,822.65