Finding the Third Proportional to 1,854.77 and 4,051.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,854.77 : 4,051.27 = 4,051.27 : x
2. Step 2: Convert to fraction form
   1,854.77/4,051.27 = 4,051.27/x
3. Step 3: Cross multiply
   1,854.77x = 4,051.27 × 4,051.27
4. Step 4: Simplify right side
   1,854.77x = 16,412,753.16
5. Step 5: Solve for x
   x = 16,412,753.16/1,854.77
6. Step 6: Final answer
   x = 8,848.93