Finding the Third Proportional to 10,266.75 and 16,081.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.75 : 16,081.88 = 16,081.88 : x
2. Step 2: Convert to fraction form
   10,266.75/16,081.88 = 16,081.88/x
3. Step 3: Cross multiply
   10,266.75x = 16,081.88 × 16,081.88
4. Step 4: Simplify right side
   10,266.75x = 258,626,703.52
5. Step 5: Solve for x
   x = 258,626,703.52/10,266.75
6. Step 6: Final answer
   x = 25,190.71