Finding the Third Proportional to 36,574.50 and 76,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,574.50 : 76,018.50 = 76,018.50 : x
2. Step 2: Convert to fraction form
   36,574.50/76,018.50 = 76,018.50/x
3. Step 3: Cross multiply
   36,574.50x = 76,018.50 × 76,018.50
4. Step 4: Simplify right side
   36,574.50x = 5,778,812,342.25
5. Step 5: Solve for x
   x = 5,778,812,342.25/36,574.50
6. Step 6: Final answer
   x = 158,001.13