Finding the Third Proportional to 4,689.14 and 9,906.05

Step by Step Solution

1. Step 1: Write the proportion equation
   4,689.14 : 9,906.05 = 9,906.05 : x
2. Step 2: Convert to fraction form
   4,689.14/9,906.05 = 9,906.05/x
3. Step 3: Cross multiply
   4,689.14x = 9,906.05 × 9,906.05
4. Step 4: Simplify right side
   4,689.14x = 98,129,764.69
5. Step 5: Solve for x
   x = 98,129,764.69/4,689.14
6. Step 6: Final answer
   x = 20,927.03