Finding the Third Proportional to 34,751 and 67,774

Step by Step Solution

1. Step 1: Write the proportion equation
   34,751 : 67,774 = 67,774 : x
2. Step 2: Convert to fraction form
   34,751/67,774 = 67,774/x
3. Step 3: Cross multiply
   34,751x = 67,774 × 67,774
4. Step 4: Simplify right side
   34,751x = 4,593,315,076
5. Step 5: Solve for x
   x = 4,593,315,076/34,751
6. Step 6: Final answer
   x = 132,177.93