Finding the Third Proportional to 10,122 and 20,746

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122 : 20,746 = 20,746 : x
2. Step 2: Convert to fraction form
   10,122/20,746 = 20,746/x
3. Step 3: Cross multiply
   10,122x = 20,746 × 20,746
4. Step 4: Simplify right side
   10,122x = 430,396,516
5. Step 5: Solve for x
   x = 430,396,516/10,122
6. Step 6: Final answer
   x = 42,520.90