Finding the Third Proportional to 7,538.06 and 11,081.81

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538.06 : 11,081.81 = 11,081.81 : x
2. Step 2: Convert to fraction form
   7,538.06/11,081.81 = 11,081.81/x
3. Step 3: Cross multiply
   7,538.06x = 11,081.81 × 11,081.81
4. Step 4: Simplify right side
   7,538.06x = 122,806,568.29
5. Step 5: Solve for x
   x = 122,806,568.29/7,538.06
6. Step 6: Final answer
   x = 16,291.53