Finding the Third Proportional to 36,828 and 80,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,828 : 80,275.50 = 80,275.50 : x
2. Step 2: Convert to fraction form
   36,828/80,275.50 = 80,275.50/x
3. Step 3: Cross multiply
   36,828x = 80,275.50 × 80,275.50
4. Step 4: Simplify right side
   36,828x = 6,444,155,900.25
5. Step 5: Solve for x
   x = 6,444,155,900.25/36,828
6. Step 6: Final answer
   x = 174,979.80