Finding the Third Proportional to 36,126 and 75,150

Step by Step Solution

1. Step 1: Write the proportion equation
   36,126 : 75,150 = 75,150 : x
2. Step 2: Convert to fraction form
   36,126/75,150 = 75,150/x
3. Step 3: Cross multiply
   36,126x = 75,150 × 75,150
4. Step 4: Simplify right side
   36,126x = 5,647,522,500
5. Step 5: Solve for x
   x = 5,647,522,500/36,126
6. Step 6: Final answer
   x = 156,328.48