Finding the Third Proportional to 5,643.84 and 8,587.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,643.84 : 8,587.27 = 8,587.27 : x
2. Step 2: Convert to fraction form
   5,643.84/8,587.27 = 8,587.27/x
3. Step 3: Cross multiply
   5,643.84x = 8,587.27 × 8,587.27
4. Step 4: Simplify right side
   5,643.84x = 73,741,130.91
5. Step 5: Solve for x
   x = 73,741,130.91/5,643.84
6. Step 6: Final answer
   x = 13,065.76