Finding the Third Proportional to 34,751 and 76,268

Step by Step Solution

1. Step 1: Write the proportion equation
   34,751 : 76,268 = 76,268 : x
2. Step 2: Convert to fraction form
   34,751/76,268 = 76,268/x
3. Step 3: Cross multiply
   34,751x = 76,268 × 76,268
4. Step 4: Simplify right side
   34,751x = 5,816,807,824
5. Step 5: Solve for x
   x = 5,816,807,824/34,751
6. Step 6: Final answer
   x = 167,385.34