Finding the Third Proportional to 35,334 and 76,743

Step by Step Solution

1. Step 1: Write the proportion equation
   35,334 : 76,743 = 76,743 : x
2. Step 2: Convert to fraction form
   35,334/76,743 = 76,743/x
3. Step 3: Cross multiply
   35,334x = 76,743 × 76,743
4. Step 4: Simplify right side
   35,334x = 5,889,488,049
5. Step 5: Solve for x
   x = 5,889,488,049/35,334
6. Step 6: Final answer
   x = 166,680.48