Finding the Third Proportional to 42,714 and 91,743

Step by Step Solution

1. Step 1: Write the proportion equation
   42,714 : 91,743 = 91,743 : x
2. Step 2: Convert to fraction form
   42,714/91,743 = 91,743/x
3. Step 3: Cross multiply
   42,714x = 91,743 × 91,743
4. Step 4: Simplify right side
   42,714x = 8,416,778,049
5. Step 5: Solve for x
   x = 8,416,778,049/42,714
6. Step 6: Final answer
   x = 197,049.63