Finding the Third Proportional to 11,538 and 16,499.81

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538 : 16,499.81 = 16,499.81 : x
2. Step 2: Convert to fraction form
   11,538/16,499.81 = 16,499.81/x
3. Step 3: Cross multiply
   11,538x = 16,499.81 × 16,499.81
4. Step 4: Simplify right side
   11,538x = 272,243,812.54
5. Step 5: Solve for x
   x = 272,243,812.54/11,538
6. Step 6: Final answer
   x = 23,595.41