Finding the Third Proportional to 49,077 and 71,856

Step by Step Solution

1. Step 1: Write the proportion equation
   49,077 : 71,856 = 71,856 : x
2. Step 2: Convert to fraction form
   49,077/71,856 = 71,856/x
3. Step 3: Cross multiply
   49,077x = 71,856 × 71,856
4. Step 4: Simplify right side
   49,077x = 5,163,284,736
5. Step 5: Solve for x
   x = 5,163,284,736/49,077
6. Step 6: Final answer
   x = 105,207.83