Finding the Third Proportional to 1,901.81 and 2,856.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,901.81 : 2,856.94 = 2,856.94 : x
2. Step 2: Convert to fraction form
   1,901.81/2,856.94 = 2,856.94/x
3. Step 3: Cross multiply
   1,901.81x = 2,856.94 × 2,856.94
4. Step 4: Simplify right side
   1,901.81x = 8,162,091.88
5. Step 5: Solve for x
   x = 8,162,091.88/1,901.81
6. Step 6: Final answer
   x = 4,291.74