Finding the Third Proportional to 5,753.69 and 8,636.23

Step by Step Solution

1. Step 1: Write the proportion equation
   5,753.69 : 8,636.23 = 8,636.23 : x
2. Step 2: Convert to fraction form
   5,753.69/8,636.23 = 8,636.23/x
3. Step 3: Cross multiply
   5,753.69x = 8,636.23 × 8,636.23
4. Step 4: Simplify right side
   5,753.69x = 74,584,459.84
5. Step 5: Solve for x
   x = 74,584,459.84/5,753.69
6. Step 6: Final answer
   x = 12,962.89