Finding the Third Proportional to 35,381 and 76,300

Step by Step Solution

1. Step 1: Write the proportion equation
   35,381 : 76,300 = 76,300 : x
2. Step 2: Convert to fraction form
   35,381/76,300 = 76,300/x
3. Step 3: Cross multiply
   35,381x = 76,300 × 76,300
4. Step 4: Simplify right side
   35,381x = 5,821,690,000
5. Step 5: Solve for x
   x = 5,821,690,000/35,381
6. Step 6: Final answer
   x = 164,542.83