Finding the Third Proportional to 35,136 and 76,150

Step by Step Solution

1. Step 1: Write the proportion equation
   35,136 : 76,150 = 76,150 : x
2. Step 2: Convert to fraction form
   35,136/76,150 = 76,150/x
3. Step 3: Cross multiply
   35,136x = 76,150 × 76,150
4. Step 4: Simplify right side
   35,136x = 5,798,822,500
5. Step 5: Solve for x
   x = 5,798,822,500/35,136
6. Step 6: Final answer
   x = 165,039.35