Finding the Third Proportional to 30,822 and 72,714

Step by Step Solution

1. Step 1: Write the proportion equation
   30,822 : 72,714 = 72,714 : x
2. Step 2: Convert to fraction form
   30,822/72,714 = 72,714/x
3. Step 3: Cross multiply
   30,822x = 72,714 × 72,714
4. Step 4: Simplify right side
   30,822x = 5,287,325,796
5. Step 5: Solve for x
   x = 5,287,325,796/30,822
6. Step 6: Final answer
   x = 171,543.89