Finding the Third Proportional to 35,357 and 76,250

Step by Step Solution

1. Step 1: Write the proportion equation
   35,357 : 76,250 = 76,250 : x
2. Step 2: Convert to fraction form
   35,357/76,250 = 76,250/x
3. Step 3: Cross multiply
   35,357x = 76,250 × 76,250
4. Step 4: Simplify right side
   35,357x = 5,814,062,500
5. Step 5: Solve for x
   x = 5,814,062,500/35,357
6. Step 6: Final answer
   x = 164,438.80