Finding the Third Proportional to 1,541.81 and 2,388.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.81 : 2,388.09 = 2,388.09 : x
2. Step 2: Convert to fraction form
   1,541.81/2,388.09 = 2,388.09/x
3. Step 3: Cross multiply
   1,541.81x = 2,388.09 × 2,388.09
4. Step 4: Simplify right side
   1,541.81x = 5,702,991.76
5. Step 5: Solve for x
   x = 5,702,991.76/1,541.81
6. Step 6: Final answer
   x = 3,698.89