Finding the Third Proportional to 9,105.50 and 13,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.50 : 13,741.50 = 13,741.50 : x
2. Step 2: Convert to fraction form
   9,105.50/13,741.50 = 13,741.50/x
3. Step 3: Cross multiply
   9,105.50x = 13,741.50 × 13,741.50
4. Step 4: Simplify right side
   9,105.50x = 188,828,822.25
5. Step 5: Solve for x
   x = 188,828,822.25/9,105.50
6. Step 6: Final answer
   x = 20,737.89