Finding the Third Proportional to 8,776.69 and 9,991.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,776.69 : 9,991.69 = 9,991.69 : x
2. Step 2: Convert to fraction form
   8,776.69/9,991.69 = 9,991.69/x
3. Step 3: Cross multiply
   8,776.69x = 9,991.69 × 9,991.69
4. Step 4: Simplify right side
   8,776.69x = 99,833,819.10
5. Step 5: Solve for x
   x = 99,833,819.10/8,776.69
6. Step 6: Final answer
   x = 11,374.89