Finding the Third Proportional to 34,629 and 73,866

Step by Step Solution

1. Step 1: Write the proportion equation
   34,629 : 73,866 = 73,866 : x
2. Step 2: Convert to fraction form
   34,629/73,866 = 73,866/x
3. Step 3: Cross multiply
   34,629x = 73,866 × 73,866
4. Step 4: Simplify right side
   34,629x = 5,456,185,956
5. Step 5: Solve for x
   x = 5,456,185,956/34,629
6. Step 6: Final answer
   x = 157,561.18