Finding the Third Proportional to 9,477 and 12,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,477 : 12,757.50 = 12,757.50 : x
2. Step 2: Convert to fraction form
   9,477/12,757.50 = 12,757.50/x
3. Step 3: Cross multiply
   9,477x = 12,757.50 × 12,757.50
4. Step 4: Simplify right side
   9,477x = 162,753,806.25
5. Step 5: Solve for x
   x = 162,753,806.25/9,477
6. Step 6: Final answer
   x = 17,173.56