Finding the Third Proportional to 2,882.81 and 5,875.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,882.81 : 5,875.31 = 5,875.31 : x
2. Step 2: Convert to fraction form
   2,882.81/5,875.31 = 5,875.31/x
3. Step 3: Cross multiply
   2,882.81x = 5,875.31 × 5,875.31
4. Step 4: Simplify right side
   2,882.81x = 34,519,296.97
5. Step 5: Solve for x
   x = 34,519,296.97/2,882.81
6. Step 6: Final answer
   x = 11,974.17