Finding the Third Proportional to 19,819.69 and 27,178.03

Step by Step Solution

1. Step 1: Write the proportion equation
   19,819.69 : 27,178.03 = 27,178.03 : x
2. Step 2: Convert to fraction form
   19,819.69/27,178.03 = 27,178.03/x
3. Step 3: Cross multiply
   19,819.69x = 27,178.03 × 27,178.03
4. Step 4: Simplify right side
   19,819.69x = 738,645,382.63
5. Step 5: Solve for x
   x = 738,645,382.63/19,819.69
6. Step 6: Final answer
   x = 37,268.27