Finding the Third Proportional to 1,541.53 and 3,386.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,541.53 : 3,386.81 = 3,386.81 : x
2. Step 2: Convert to fraction form
   1,541.53/3,386.81 = 3,386.81/x
3. Step 3: Cross multiply
   1,541.53x = 3,386.81 × 3,386.81
4. Step 4: Simplify right side
   1,541.53x = 11,470,498.91
5. Step 5: Solve for x
   x = 11,470,498.91/1,541.53
6. Step 6: Final answer
   x = 7,440.98