Finding the Third Proportional to 10,138.41 and 13,561.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.41 : 13,561.59 = 13,561.59 : x
2. Step 2: Convert to fraction form
   10,138.41/13,561.59 = 13,561.59/x
3. Step 3: Cross multiply
   10,138.41x = 13,561.59 × 13,561.59
4. Step 4: Simplify right side
   10,138.41x = 183,916,825.04
5. Step 5: Solve for x
   x = 183,916,825.04/10,138.41
6. Step 6: Final answer
   x = 18,140.61