Finding the Third Proportional to 33,726.38 and 73,527.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,726.38 : 73,527.75 = 73,527.75 : x
2. Step 2: Convert to fraction form
   33,726.38/73,527.75 = 73,527.75/x
3. Step 3: Cross multiply
   33,726.38x = 73,527.75 × 73,527.75
4. Step 4: Simplify right side
   33,726.38x = 5,406,330,020.06
5. Step 5: Solve for x
   x = 5,406,330,020.06/33,726.38
6. Step 6: Final answer
   x = 160,299.77