Finding the Third Proportional to 1,723.78 and 1,871.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,723.78 : 1,871.86 = 1,871.86 : x
2. Step 2: Convert to fraction form
   1,723.78/1,871.86 = 1,871.86/x
3. Step 3: Cross multiply
   1,723.78x = 1,871.86 × 1,871.86
4. Step 4: Simplify right side
   1,723.78x = 3,503,857.52
5. Step 5: Solve for x
   x = 3,503,857.52/1,723.78
6. Step 6: Final answer
   x = 2,032.66