Finding the Third Proportional to 33,723 and 72,640.13

Step by Step Solution

1. Step 1: Write the proportion equation
   33,723 : 72,640.13 = 72,640.13 : x
2. Step 2: Convert to fraction form
   33,723/72,640.13 = 72,640.13/x
3. Step 3: Cross multiply
   33,723x = 72,640.13 × 72,640.13
4. Step 4: Simplify right side
   33,723x = 5,276,587,760.02
5. Step 5: Solve for x
   x = 5,276,587,760.02/33,723
6. Step 6: Final answer
   x = 156,468.52