Finding the Third Proportional to 42,758 and 65,777

Step by Step Solution

1. Step 1: Write the proportion equation
   42,758 : 65,777 = 65,777 : x
2. Step 2: Convert to fraction form
   42,758/65,777 = 65,777/x
3. Step 3: Cross multiply
   42,758x = 65,777 × 65,777
4. Step 4: Simplify right side
   42,758x = 4,326,613,729
5. Step 5: Solve for x
   x = 4,326,613,729/42,758
6. Step 6: Final answer
   x = 101,188.40