Finding the Third Proportional to 851.77 and 2,053.27

Step by Step Solution

1. Step 1: Write the proportion equation
   851.77 : 2,053.27 = 2,053.27 : x
2. Step 2: Convert to fraction form
   851.77/2,053.27 = 2,053.27/x
3. Step 3: Cross multiply
   851.77x = 2,053.27 × 2,053.27
4. Step 4: Simplify right side
   851.77x = 4,215,899.73
5. Step 5: Solve for x
   x = 4,215,899.73/851.77
6. Step 6: Final answer
   x = 4,949.60