Finding the Third Proportional to 9,109.13 and 13,746.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,109.13 : 13,746.38 = 13,746.38 : x
2. Step 2: Convert to fraction form
   9,109.13/13,746.38 = 13,746.38/x
3. Step 3: Cross multiply
   9,109.13x = 13,746.38 × 13,746.38
4. Step 4: Simplify right side
   9,109.13x = 188,962,825.64
5. Step 5: Solve for x
   x = 188,962,825.64/9,109.13
6. Step 6: Final answer
   x = 20,744.34