Finding the Third Proportional to 1,199.81 and 2,581.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.81 : 2,581.88 = 2,581.88 : x
2. Step 2: Convert to fraction form
   1,199.81/2,581.88 = 2,581.88/x
3. Step 3: Cross multiply
   1,199.81x = 2,581.88 × 2,581.88
4. Step 4: Simplify right side
   1,199.81x = 6,666,078.52
5. Step 5: Solve for x
   x = 6,666,078.52/1,199.81
6. Step 6: Final answer
   x = 5,555.93