Finding the Third Proportional to 1,281.75 and 1,832.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,281.75 : 1,832.86 = 1,832.86 : x
2. Step 2: Convert to fraction form
   1,281.75/1,832.86 = 1,832.86/x
3. Step 3: Cross multiply
   1,281.75x = 1,832.86 × 1,832.86
4. Step 4: Simplify right side
   1,281.75x = 3,359,373.49
5. Step 5: Solve for x
   x = 3,359,373.49/1,281.75
6. Step 6: Final answer
   x = 2,620.93