Finding the Third Proportional to 30,816 and 72,696

Step by Step Solution

1. Step 1: Write the proportion equation
   30,816 : 72,696 = 72,696 : x
2. Step 2: Convert to fraction form
   30,816/72,696 = 72,696/x
3. Step 3: Cross multiply
   30,816x = 72,696 × 72,696
4. Step 4: Simplify right side
   30,816x = 5,284,708,416
5. Step 5: Solve for x
   x = 5,284,708,416/30,816
6. Step 6: Final answer
   x = 171,492.36