Finding the Third Proportional to 3,926 and 9,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,926 : 9,081.50 = 9,081.50 : x
2. Step 2: Convert to fraction form
   3,926/9,081.50 = 9,081.50/x
3. Step 3: Cross multiply
   3,926x = 9,081.50 × 9,081.50
4. Step 4: Simplify right side
   3,926x = 82,473,642.25
5. Step 5: Solve for x
   x = 82,473,642.25/3,926
6. Step 6: Final answer
   x = 21,007.04