Finding the Third Proportional to 2,085.19 and 3,886.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.19 : 3,886.88 = 3,886.88 : x
2. Step 2: Convert to fraction form
   2,085.19/3,886.88 = 3,886.88/x
3. Step 3: Cross multiply
   2,085.19x = 3,886.88 × 3,886.88
4. Step 4: Simplify right side
   2,085.19x = 15,107,797.27
5. Step 5: Solve for x
   x = 15,107,797.27/2,085.19
6. Step 6: Final answer
   x = 7,245.29