Finding the Third Proportional to 35,750 and 76,981

Step by Step Solution

1. Step 1: Write the proportion equation
   35,750 : 76,981 = 76,981 : x
2. Step 2: Convert to fraction form
   35,750/76,981 = 76,981/x
3. Step 3: Cross multiply
   35,750x = 76,981 × 76,981
4. Step 4: Simplify right side
   35,750x = 5,926,074,361
5. Step 5: Solve for x
   x = 5,926,074,361/35,750
6. Step 6: Final answer
   x = 165,764.32