Finding the Third Proportional to 19,505 and 27,799

Step by Step Solution

1. Step 1: Write the proportion equation
   19,505 : 27,799 = 27,799 : x
2. Step 2: Convert to fraction form
   19,505/27,799 = 27,799/x
3. Step 3: Cross multiply
   19,505x = 27,799 × 27,799
4. Step 4: Simplify right side
   19,505x = 772,784,401
5. Step 5: Solve for x
   x = 772,784,401/19,505
6. Step 6: Final answer
   x = 39,619.81