Finding the Third Proportional to 2,096.13 and 3,837.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.13 : 3,837.88 = 3,837.88 : x
2. Step 2: Convert to fraction form
   2,096.13/3,837.88 = 3,837.88/x
3. Step 3: Cross multiply
   2,096.13x = 3,837.88 × 3,837.88
4. Step 4: Simplify right side
   2,096.13x = 14,729,284.52
5. Step 5: Solve for x
   x = 14,729,284.52/2,096.13
6. Step 6: Final answer
   x = 7,026.91