Finding the Third Proportional to 1,511.63 and 2,398.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,511.63 : 2,398.69 = 2,398.69 : x
2. Step 2: Convert to fraction form
   1,511.63/2,398.69 = 2,398.69/x
3. Step 3: Cross multiply
   1,511.63x = 2,398.69 × 2,398.69
4. Step 4: Simplify right side
   1,511.63x = 5,753,701.72
5. Step 5: Solve for x
   x = 5,753,701.72/1,511.63
6. Step 6: Final answer
   x = 3,806.30