Finding the Third Proportional to 4,233.50 and 4,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,233.50 : 4,872.50 = 4,872.50 : x
2. Step 2: Convert to fraction form
   4,233.50/4,872.50 = 4,872.50/x
3. Step 3: Cross multiply
   4,233.50x = 4,872.50 × 4,872.50
4. Step 4: Simplify right side
   4,233.50x = 23,741,256.25
5. Step 5: Solve for x
   x = 23,741,256.25/4,233.50
6. Step 6: Final answer
   x = 5,607.95