Finding the Third Proportional to 2,701.69 and 5,585.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,701.69 : 5,585.63 = 5,585.63 : x
2. Step 2: Convert to fraction form
   2,701.69/5,585.63 = 5,585.63/x
3. Step 3: Cross multiply
   2,701.69x = 5,585.63 × 5,585.63
4. Step 4: Simplify right side
   2,701.69x = 31,199,206.64
5. Step 5: Solve for x
   x = 31,199,206.64/2,701.69
6. Step 6: Final answer
   x = 11,548.04