Finding the Third Proportional to 32,714 and 71,756

Step by Step Solution

1. Step 1: Write the proportion equation
   32,714 : 71,756 = 71,756 : x
2. Step 2: Convert to fraction form
   32,714/71,756 = 71,756/x
3. Step 3: Cross multiply
   32,714x = 71,756 × 71,756
4. Step 4: Simplify right side
   32,714x = 5,148,923,536
5. Step 5: Solve for x
   x = 5,148,923,536/32,714
6. Step 6: Final answer
   x = 157,392.05