Finding the Third Proportional to 30,816 and 71,901

Step by Step Solution

1. Step 1: Write the proportion equation
   30,816 : 71,901 = 71,901 : x
2. Step 2: Convert to fraction form
   30,816/71,901 = 71,901/x
3. Step 3: Cross multiply
   30,816x = 71,901 × 71,901
4. Step 4: Simplify right side
   30,816x = 5,169,753,801
5. Step 5: Solve for x
   x = 5,169,753,801/30,816
6. Step 6: Final answer
   x = 167,762.00