Finding the Third Proportional to 34,736 and 74,740

Step by Step Solution

1. Step 1: Write the proportion equation
   34,736 : 74,740 = 74,740 : x
2. Step 2: Convert to fraction form
   34,736/74,740 = 74,740/x
3. Step 3: Cross multiply
   34,736x = 74,740 × 74,740
4. Step 4: Simplify right side
   34,736x = 5,586,067,600
5. Step 5: Solve for x
   x = 5,586,067,600/34,736
6. Step 6: Final answer
   x = 160,814.94