Finding the Third Proportional to 4,591.69 and 9,775.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,591.69 : 9,775.69 = 9,775.69 : x
2. Step 2: Convert to fraction form
   4,591.69/9,775.69 = 9,775.69/x
3. Step 3: Cross multiply
   4,591.69x = 9,775.69 × 9,775.69
4. Step 4: Simplify right side
   4,591.69x = 95,564,066.10
5. Step 5: Solve for x
   x = 95,564,066.10/4,591.69
6. Step 6: Final answer
   x = 20,812.41