Finding the Third Proportional to 10,101 and 20,705.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,101 : 20,705.25 = 20,705.25 : x
2. Step 2: Convert to fraction form
   10,101/20,705.25 = 20,705.25/x
3. Step 3: Cross multiply
   10,101x = 20,705.25 × 20,705.25
4. Step 4: Simplify right side
   10,101x = 428,707,377.56
5. Step 5: Solve for x
   x = 428,707,377.56/10,101
6. Step 6: Final answer
   x = 42,442.07