Finding the Third Proportional to 33,723 and 72,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,723 : 72,367.50 = 72,367.50 : x
2. Step 2: Convert to fraction form
   33,723/72,367.50 = 72,367.50/x
3. Step 3: Cross multiply
   33,723x = 72,367.50 × 72,367.50
4. Step 4: Simplify right side
   33,723x = 5,237,055,056.25
5. Step 5: Solve for x
   x = 5,237,055,056.25/33,723
6. Step 6: Final answer
   x = 155,296.24