Finding the Third Proportional to 37,596 and 80,196

Step by Step Solution

1. Step 1: Write the proportion equation
   37,596 : 80,196 = 80,196 : x
2. Step 2: Convert to fraction form
   37,596/80,196 = 80,196/x
3. Step 3: Cross multiply
   37,596x = 80,196 × 80,196
4. Step 4: Simplify right side
   37,596x = 6,431,398,416
5. Step 5: Solve for x
   x = 6,431,398,416/37,596
6. Step 6: Final answer
   x = 171,066.03