Finding the Third Proportional to 1,926.28 and 2,314.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,926.28 : 2,314.83 = 2,314.83 : x
2. Step 2: Convert to fraction form
   1,926.28/2,314.83 = 2,314.83/x
3. Step 3: Cross multiply
   1,926.28x = 2,314.83 × 2,314.83
4. Step 4: Simplify right side
   1,926.28x = 5,358,429.25
5. Step 5: Solve for x
   x = 5,358,429.25/1,926.28
6. Step 6: Final answer
   x = 2,781.75