Finding the Third Proportional to 1,531.69 and 2,324.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,531.69 : 2,324.81 = 2,324.81 : x
2. Step 2: Convert to fraction form
   1,531.69/2,324.81 = 2,324.81/x
3. Step 3: Cross multiply
   1,531.69x = 2,324.81 × 2,324.81
4. Step 4: Simplify right side
   1,531.69x = 5,404,753.16
5. Step 5: Solve for x
   x = 5,404,753.16/1,531.69
6. Step 6: Final answer
   x = 3,528.63