Finding the Third Proportional to 36,597 and 76,065

Step by Step Solution

1. Step 1: Write the proportion equation
   36,597 : 76,065 = 76,065 : x
2. Step 2: Convert to fraction form
   36,597/76,065 = 76,065/x
3. Step 3: Cross multiply
   36,597x = 76,065 × 76,065
4. Step 4: Simplify right side
   36,597x = 5,785,884,225
5. Step 5: Solve for x
   x = 5,785,884,225/36,597
6. Step 6: Final answer
   x = 158,097.23