Finding the Third Proportional to 33,816 and 70,008

Step by Step Solution

1. Step 1: Write the proportion equation
   33,816 : 70,008 = 70,008 : x
2. Step 2: Convert to fraction form
   33,816/70,008 = 70,008/x
3. Step 3: Cross multiply
   33,816x = 70,008 × 70,008
4. Step 4: Simplify right side
   33,816x = 4,901,120,064
5. Step 5: Solve for x
   x = 4,901,120,064/33,816
6. Step 6: Final answer
   x = 144,934.94