Finding the Third Proportional to 30,744 and 67,152

Step by Step Solution

1. Step 1: Write the proportion equation
   30,744 : 67,152 = 67,152 : x
2. Step 2: Convert to fraction form
   30,744/67,152 = 67,152/x
3. Step 3: Cross multiply
   30,744x = 67,152 × 67,152
4. Step 4: Simplify right side
   30,744x = 4,509,391,104
5. Step 5: Solve for x
   x = 4,509,391,104/30,744
6. Step 6: Final answer
   x = 146,675.48