Finding the Third Proportional to 10,114 and 20,640

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114 : 20,640 = 20,640 : x
2. Step 2: Convert to fraction form
   10,114/20,640 = 20,640/x
3. Step 3: Cross multiply
   10,114x = 20,640 × 20,640
4. Step 4: Simplify right side
   10,114x = 426,009,600
5. Step 5: Solve for x
   x = 426,009,600/10,114
6. Step 6: Final answer
   x = 42,120.78