Finding the Third Proportional to 33,816 and 72,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,816 : 72,154.50 = 72,154.50 : x
2. Step 2: Convert to fraction form
   33,816/72,154.50 = 72,154.50/x
3. Step 3: Cross multiply
   33,816x = 72,154.50 × 72,154.50
4. Step 4: Simplify right side
   33,816x = 5,206,271,870.25
5. Step 5: Solve for x
   x = 5,206,271,870.25/33,816
6. Step 6: Final answer
   x = 153,958.83