Finding the Third Proportional to 1,266.05 and 1,856.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,266.05 : 1,856.32 = 1,856.32 : x
2. Step 2: Convert to fraction form
   1,266.05/1,856.32 = 1,856.32/x
3. Step 3: Cross multiply
   1,266.05x = 1,856.32 × 1,856.32
4. Step 4: Simplify right side
   1,266.05x = 3,445,925.10
5. Step 5: Solve for x
   x = 3,445,925.10/1,266.05
6. Step 6: Final answer
   x = 2,721.80