Finding the Third Proportional to 34,162 and 74,804

Step by Step Solution

1. Step 1: Write the proportion equation
   34,162 : 74,804 = 74,804 : x
2. Step 2: Convert to fraction form
   34,162/74,804 = 74,804/x
3. Step 3: Cross multiply
   34,162x = 74,804 × 74,804
4. Step 4: Simplify right side
   34,162x = 5,595,638,416
5. Step 5: Solve for x
   x = 5,595,638,416/34,162
6. Step 6: Final answer
   x = 163,797.16