Finding the Third Proportional to 42,613 and 68,077

Step by Step Solution

1. Step 1: Write the proportion equation
   42,613 : 68,077 = 68,077 : x
2. Step 2: Convert to fraction form
   42,613/68,077 = 68,077/x
3. Step 3: Cross multiply
   42,613x = 68,077 × 68,077
4. Step 4: Simplify right side
   42,613x = 4,634,477,929
5. Step 5: Solve for x
   x = 4,634,477,929/42,613
6. Step 6: Final answer
   x = 108,757.37