Finding the Third Proportional to 11,549.50 and 16,091.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,549.50 : 16,091.25 = 16,091.25 : x
2. Step 2: Convert to fraction form
   11,549.50/16,091.25 = 16,091.25/x
3. Step 3: Cross multiply
   11,549.50x = 16,091.25 × 16,091.25
4. Step 4: Simplify right side
   11,549.50x = 258,928,326.56
5. Step 5: Solve for x
   x = 258,928,326.56/11,549.50
6. Step 6: Final answer
   x = 22,419.01