Finding the Third Proportional to 19,824 and 30,712

Step by Step Solution

1. Step 1: Write the proportion equation
   19,824 : 30,712 = 30,712 : x
2. Step 2: Convert to fraction form
   19,824/30,712 = 30,712/x
3. Step 3: Cross multiply
   19,824x = 30,712 × 30,712
4. Step 4: Simplify right side
   19,824x = 943,226,944
5. Step 5: Solve for x
   x = 943,226,944/19,824
6. Step 6: Final answer
   x = 47,580.05