Finding the Third Proportional to 35,589 and 82,380

Step by Step Solution

1. Step 1: Write the proportion equation
   35,589 : 82,380 = 82,380 : x
2. Step 2: Convert to fraction form
   35,589/82,380 = 82,380/x
3. Step 3: Cross multiply
   35,589x = 82,380 × 82,380
4. Step 4: Simplify right side
   35,589x = 6,786,464,400
5. Step 5: Solve for x
   x = 6,786,464,400/35,589
6. Step 6: Final answer
   x = 190,689.94