Finding the Third Proportional to 19,770 and 30,789

Step by Step Solution

1. Step 1: Write the proportion equation
   19,770 : 30,789 = 30,789 : x
2. Step 2: Convert to fraction form
   19,770/30,789 = 30,789/x
3. Step 3: Cross multiply
   19,770x = 30,789 × 30,789
4. Step 4: Simplify right side
   19,770x = 947,962,521
5. Step 5: Solve for x
   x = 947,962,521/19,770
6. Step 6: Final answer
   x = 47,949.55