Finding the Third Proportional to 11,538.70 and 16,499.32

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538.70 : 16,499.32 = 16,499.32 : x
2. Step 2: Convert to fraction form
   11,538.70/16,499.32 = 16,499.32/x
3. Step 3: Cross multiply
   11,538.70x = 16,499.32 × 16,499.32
4. Step 4: Simplify right side
   11,538.70x = 272,227,570.77
5. Step 5: Solve for x
   x = 272,227,570.77/11,538.70
6. Step 6: Final answer
   x = 23,592.56