Finding the Third Proportional to 2,538.94 and 3,808.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.94 : 3,808.31 = 3,808.31 : x
2. Step 2: Convert to fraction form
   2,538.94/3,808.31 = 3,808.31/x
3. Step 3: Cross multiply
   2,538.94x = 3,808.31 × 3,808.31
4. Step 4: Simplify right side
   2,538.94x = 14,503,244.10
5. Step 5: Solve for x
   x = 14,503,244.10/2,538.94
6. Step 6: Final answer
   x = 5,712.33