Finding the Third Proportional to 30,824 and 72,719

Step by Step Solution

1. Step 1: Write the proportion equation
   30,824 : 72,719 = 72,719 : x
2. Step 2: Convert to fraction form
   30,824/72,719 = 72,719/x
3. Step 3: Cross multiply
   30,824x = 72,719 × 72,719
4. Step 4: Simplify right side
   30,824x = 5,288,052,961
5. Step 5: Solve for x
   x = 5,288,052,961/30,824
6. Step 6: Final answer
   x = 171,556.35