Finding the Third Proportional to 19,776 and 30,799

Step by Step Solution

1. Step 1: Write the proportion equation
   19,776 : 30,799 = 30,799 : x
2. Step 2: Convert to fraction form
   19,776/30,799 = 30,799/x
3. Step 3: Cross multiply
   19,776x = 30,799 × 30,799
4. Step 4: Simplify right side
   19,776x = 948,578,401
5. Step 5: Solve for x
   x = 948,578,401/19,776
6. Step 6: Final answer
   x = 47,966.14