Finding the Third Proportional to 34,111 and 73,826

Step by Step Solution

1. Step 1: Write the proportion equation
   34,111 : 73,826 = 73,826 : x
2. Step 2: Convert to fraction form
   34,111/73,826 = 73,826/x
3. Step 3: Cross multiply
   34,111x = 73,826 × 73,826
4. Step 4: Simplify right side
   34,111x = 5,450,278,276
5. Step 5: Solve for x
   x = 5,450,278,276/34,111
6. Step 6: Final answer
   x = 159,780.67