Finding the Third Proportional to 30,714 and 65,796

Step by Step Solution

1. Step 1: Write the proportion equation
   30,714 : 65,796 = 65,796 : x
2. Step 2: Convert to fraction form
   30,714/65,796 = 65,796/x
3. Step 3: Cross multiply
   30,714x = 65,796 × 65,796
4. Step 4: Simplify right side
   30,714x = 4,329,113,616
5. Step 5: Solve for x
   x = 4,329,113,616/30,714
6. Step 6: Final answer
   x = 140,949.20