Finding the Third Proportional to 46,758 and 65,768

Step by Step Solution

1. Step 1: Write the proportion equation
   46,758 : 65,768 = 65,768 : x
2. Step 2: Convert to fraction form
   46,758/65,768 = 65,768/x
3. Step 3: Cross multiply
   46,758x = 65,768 × 65,768
4. Step 4: Simplify right side
   46,758x = 4,325,429,824
5. Step 5: Solve for x
   x = 4,325,429,824/46,758
6. Step 6: Final answer
   x = 92,506.73