Finding the Third Proportional to 19,820 and 30,788

Step by Step Solution

1. Step 1: Write the proportion equation
   19,820 : 30,788 = 30,788 : x
2. Step 2: Convert to fraction form
   19,820/30,788 = 30,788/x
3. Step 3: Cross multiply
   19,820x = 30,788 × 30,788
4. Step 4: Simplify right side
   19,820x = 947,900,944
5. Step 5: Solve for x
   x = 947,900,944/19,820
6. Step 6: Final answer
   x = 47,825.48