Finding the Third Proportional to 3,907.50 and 4,596

Step by Step Solution

1. Step 1: Write the proportion equation
   3,907.50 : 4,596 = 4,596 : x
2. Step 2: Convert to fraction form
   3,907.50/4,596 = 4,596/x
3. Step 3: Cross multiply
   3,907.50x = 4,596 × 4,596
4. Step 4: Simplify right side
   3,907.50x = 21,123,216
5. Step 5: Solve for x
   x = 21,123,216/3,907.50
6. Step 6: Final answer
   x = 5,405.81