Finding the Third Proportional to 4,178.25 and 5,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,178.25 : 5,737.50 = 5,737.50 : x
2. Step 2: Convert to fraction form
   4,178.25/5,737.50 = 5,737.50/x
3. Step 3: Cross multiply
   4,178.25x = 5,737.50 × 5,737.50
4. Step 4: Simplify right side
   4,178.25x = 32,918,906.25
5. Step 5: Solve for x
   x = 32,918,906.25/4,178.25
6. Step 6: Final answer
   x = 7,878.63