Finding the Third Proportional to 1,512.13 and 2,407.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,512.13 : 2,407.69 = 2,407.69 : x
2. Step 2: Convert to fraction form
   1,512.13/2,407.69 = 2,407.69/x
3. Step 3: Cross multiply
   1,512.13x = 2,407.69 × 2,407.69
4. Step 4: Simplify right side
   1,512.13x = 5,796,959.10
5. Step 5: Solve for x
   x = 5,796,959.10/1,512.13
6. Step 6: Final answer
   x = 3,833.65