Finding the Third Proportional to 20,656 and 46,716

Step by Step Solution

1. Step 1: Write the proportion equation
   20,656 : 46,716 = 46,716 : x
2. Step 2: Convert to fraction form
   20,656/46,716 = 46,716/x
3. Step 3: Cross multiply
   20,656x = 46,716 × 46,716
4. Step 4: Simplify right side
   20,656x = 2,182,384,656
5. Step 5: Solve for x
   x = 2,182,384,656/20,656
6. Step 6: Final answer
   x = 105,653.79