Finding the Third Proportional to 13,096.69 and 20,784.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096.69 : 20,784.09 = 20,784.09 : x
2. Step 2: Convert to fraction form
   13,096.69/20,784.09 = 20,784.09/x
3. Step 3: Cross multiply
   13,096.69x = 20,784.09 × 20,784.09
4. Step 4: Simplify right side
   13,096.69x = 431,978,553.01
5. Step 5: Solve for x
   x = 431,978,553.01/13,096.69
6. Step 6: Final answer
   x = 32,983.80