Finding the Third Proportional to 36,950 and 81,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,950 : 81,047.50 = 81,047.50 : x
2. Step 2: Convert to fraction form
   36,950/81,047.50 = 81,047.50/x
3. Step 3: Cross multiply
   36,950x = 81,047.50 × 81,047.50
4. Step 4: Simplify right side
   36,950x = 6,568,697,256.25
5. Step 5: Solve for x
   x = 6,568,697,256.25/36,950
6. Step 6: Final answer
   x = 177,772.59