Finding the Third Proportional to 36,571.50 and 76,038.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,571.50 : 76,038.75 = 76,038.75 : x
2. Step 2: Convert to fraction form
   36,571.50/76,038.75 = 76,038.75/x
3. Step 3: Cross multiply
   36,571.50x = 76,038.75 × 76,038.75
4. Step 4: Simplify right side
   36,571.50x = 5,781,891,501.56
5. Step 5: Solve for x
   x = 5,781,891,501.56/36,571.50
6. Step 6: Final answer
   x = 158,098.29