Finding the Third Proportional to 5,022.84 and 10,180.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,022.84 : 10,180.69 = 10,180.69 : x
2. Step 2: Convert to fraction form
   5,022.84/10,180.69 = 10,180.69/x
3. Step 3: Cross multiply
   5,022.84x = 10,180.69 × 10,180.69
4. Step 4: Simplify right side
   5,022.84x = 103,646,397.97
5. Step 5: Solve for x
   x = 103,646,397.97/5,022.84
6. Step 6: Final answer
   x = 20,635.00