Finding the Third Proportional to 9,109.13 and 13,707.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,109.13 : 13,707.56 = 13,707.56 : x
2. Step 2: Convert to fraction form
   9,109.13/13,707.56 = 13,707.56/x
3. Step 3: Cross multiply
   9,109.13x = 13,707.56 × 13,707.56
4. Step 4: Simplify right side
   9,109.13x = 187,897,269.69
5. Step 5: Solve for x
   x = 187,897,269.69/9,109.13
6. Step 6: Final answer
   x = 20,627.37