Finding the Third Proportional to 32,872.50 and 53,408.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,872.50 : 53,408.25 = 53,408.25 : x
2. Step 2: Convert to fraction form
   32,872.50/53,408.25 = 53,408.25/x
3. Step 3: Cross multiply
   32,872.50x = 53,408.25 × 53,408.25
4. Step 4: Simplify right side
   32,872.50x = 2,852,441,168.06
5. Step 5: Solve for x
   x = 2,852,441,168.06/32,872.50
6. Step 6: Final answer
   x = 86,772.87