Finding the Third Proportional to 9,513 and 13,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,513 : 13,069.50 = 13,069.50 : x
2. Step 2: Convert to fraction form
   9,513/13,069.50 = 13,069.50/x
3. Step 3: Cross multiply
   9,513x = 13,069.50 × 13,069.50
4. Step 4: Simplify right side
   9,513x = 170,811,830.25
5. Step 5: Solve for x
   x = 170,811,830.25/9,513
6. Step 6: Final answer
   x = 17,955.62