Finding the Third Proportional to 1,233 and 1,856.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,233 : 1,856.25 = 1,856.25 : x
2. Step 2: Convert to fraction form
   1,233/1,856.25 = 1,856.25/x
3. Step 3: Cross multiply
   1,233x = 1,856.25 × 1,856.25
4. Step 4: Simplify right side
   1,233x = 3,445,664.06
5. Step 5: Solve for x
   x = 3,445,664.06/1,233
6. Step 6: Final answer
   x = 2,794.54