Finding the Third Proportional to 3,907.50 and 8,460.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,907.50 : 8,460.75 = 8,460.75 : x
2. Step 2: Convert to fraction form
   3,907.50/8,460.75 = 8,460.75/x
3. Step 3: Cross multiply
   3,907.50x = 8,460.75 × 8,460.75
4. Step 4: Simplify right side
   3,907.50x = 71,584,290.56
5. Step 5: Solve for x
   x = 71,584,290.56/3,907.50
6. Step 6: Final answer
   x = 18,319.72