Finding the Third Proportional to 9,189 and 12,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,189 : 12,136.50 = 12,136.50 : x
2. Step 2: Convert to fraction form
   9,189/12,136.50 = 12,136.50/x
3. Step 3: Cross multiply
   9,189x = 12,136.50 × 12,136.50
4. Step 4: Simplify right side
   9,189x = 147,294,632.25
5. Step 5: Solve for x
   x = 147,294,632.25/9,189
6. Step 6: Final answer
   x = 16,029.45