Finding the Third Proportional to 20,768 and 31,066

Step by Step Solution

1. Step 1: Write the proportion equation
   20,768 : 31,066 = 31,066 : x
2. Step 2: Convert to fraction form
   20,768/31,066 = 31,066/x
3. Step 3: Cross multiply
   20,768x = 31,066 × 31,066
4. Step 4: Simplify right side
   20,768x = 965,096,356
5. Step 5: Solve for x
   x = 965,096,356/20,768
6. Step 6: Final answer
   x = 46,470.36