Finding the Third Proportional to 3,872.50 and 5,925

Step by Step Solution

1. Step 1: Write the proportion equation
   3,872.50 : 5,925 = 5,925 : x
2. Step 2: Convert to fraction form
   3,872.50/5,925 = 5,925/x
3. Step 3: Cross multiply
   3,872.50x = 5,925 × 5,925
4. Step 4: Simplify right side
   3,872.50x = 35,105,625
5. Step 5: Solve for x
   x = 35,105,625/3,872.50
6. Step 6: Final answer
   x = 9,065.36