Finding the Third Proportional to 36,960 and 81,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,960 : 81,004.50 = 81,004.50 : x
2. Step 2: Convert to fraction form
   36,960/81,004.50 = 81,004.50/x
3. Step 3: Cross multiply
   36,960x = 81,004.50 × 81,004.50
4. Step 4: Simplify right side
   36,960x = 6,561,729,020.25
5. Step 5: Solve for x
   x = 6,561,729,020.25/36,960
6. Step 6: Final answer
   x = 177,535.96