Finding the Third Proportional to 33,723 and 52,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,723 : 52,447.50 = 52,447.50 : x
2. Step 2: Convert to fraction form
   33,723/52,447.50 = 52,447.50/x
3. Step 3: Cross multiply
   33,723x = 52,447.50 × 52,447.50
4. Step 4: Simplify right side
   33,723x = 2,750,740,256.25
5. Step 5: Solve for x
   x = 2,750,740,256.25/33,723
6. Step 6: Final answer
   x = 81,568.67