Finding the Third Proportional to 9,136.13 and 13,771.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,136.13 : 13,771.69 = 13,771.69 : x
2. Step 2: Convert to fraction form
   9,136.13/13,771.69 = 13,771.69/x
3. Step 3: Cross multiply
   9,136.13x = 13,771.69 × 13,771.69
4. Step 4: Simplify right side
   9,136.13x = 189,659,376.60
5. Step 5: Solve for x
   x = 189,659,376.60/9,136.13
6. Step 6: Final answer
   x = 20,759.28