Finding the Third Proportional to 5,644.69 and 8,587.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.69 : 8,587.69 = 8,587.69 : x
2. Step 2: Convert to fraction form
   5,644.69/8,587.69 = 8,587.69/x
3. Step 3: Cross multiply
   5,644.69x = 8,587.69 × 8,587.69
4. Step 4: Simplify right side
   5,644.69x = 73,748,376.60
5. Step 5: Solve for x
   x = 73,748,376.60/5,644.69
6. Step 6: Final answer
   x = 13,065.09