Finding the Third Proportional to 1,081.69 and 2,615.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,081.69 : 2,615.63 = 2,615.63 : x
2. Step 2: Convert to fraction form
   1,081.69/2,615.63 = 2,615.63/x
3. Step 3: Cross multiply
   1,081.69x = 2,615.63 × 2,615.63
4. Step 4: Simplify right side
   1,081.69x = 6,841,494.14
5. Step 5: Solve for x
   x = 6,841,494.14/1,081.69
6. Step 6: Final answer
   x = 6,324.83