Finding the Third Proportional to 33,816 and 72,321.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,816 : 72,321.75 = 72,321.75 : x
2. Step 2: Convert to fraction form
   33,816/72,321.75 = 72,321.75/x
3. Step 3: Cross multiply
   33,816x = 72,321.75 × 72,321.75
4. Step 4: Simplify right side
   33,816x = 5,230,435,523.06
5. Step 5: Solve for x
   x = 5,230,435,523.06/33,816
6. Step 6: Final answer
   x = 154,673.39