Finding the Third Proportional to 34,774 and 76,108

Step by Step Solution

1. Step 1: Write the proportion equation
   34,774 : 76,108 = 76,108 : x
2. Step 2: Convert to fraction form
   34,774/76,108 = 76,108/x
3. Step 3: Cross multiply
   34,774x = 76,108 × 76,108
4. Step 4: Simplify right side
   34,774x = 5,792,427,664
5. Step 5: Solve for x
   x = 5,792,427,664/34,774
6. Step 6: Final answer
   x = 166,573.52