Finding the Third Proportional to 9,525 and 10,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,525 : 10,969.50 = 10,969.50 : x
2. Step 2: Convert to fraction form
   9,525/10,969.50 = 10,969.50/x
3. Step 3: Cross multiply
   9,525x = 10,969.50 × 10,969.50
4. Step 4: Simplify right side
   9,525x = 120,329,930.25
5. Step 5: Solve for x
   x = 120,329,930.25/9,525
6. Step 6: Final answer
   x = 12,633.06