Finding the Third Proportional to 3,907.50 and 4,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,907.50 : 4,474.50 = 4,474.50 : x
2. Step 2: Convert to fraction form
   3,907.50/4,474.50 = 4,474.50/x
3. Step 3: Cross multiply
   3,907.50x = 4,474.50 × 4,474.50
4. Step 4: Simplify right side
   3,907.50x = 20,021,150.25
5. Step 5: Solve for x
   x = 20,021,150.25/3,907.50
6. Step 6: Final answer
   x = 5,123.77