Finding the Third Proportional to 36,428 and 76,150

Step by Step Solution

1. Step 1: Write the proportion equation
   36,428 : 76,150 = 76,150 : x
2. Step 2: Convert to fraction form
   36,428/76,150 = 76,150/x
3. Step 3: Cross multiply
   36,428x = 76,150 × 76,150
4. Step 4: Simplify right side
   36,428x = 5,798,822,500
5. Step 5: Solve for x
   x = 5,798,822,500/36,428
6. Step 6: Final answer
   x = 159,185.86