Finding the Third Proportional to 36,733.50 and 76,659.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,733.50 : 76,659.75 = 76,659.75 : x
2. Step 2: Convert to fraction form
   36,733.50/76,659.75 = 76,659.75/x
3. Step 3: Cross multiply
   36,733.50x = 76,659.75 × 76,659.75
4. Step 4: Simplify right side
   36,733.50x = 5,876,717,270.06
5. Step 5: Solve for x
   x = 5,876,717,270.06/36,733.50
6. Step 6: Final answer
   x = 159,982.50