Finding the Third Proportional to 37,256 and 80,821

Step by Step Solution

1. Step 1: Write the proportion equation
   37,256 : 80,821 = 80,821 : x
2. Step 2: Convert to fraction form
   37,256/80,821 = 80,821/x
3. Step 3: Cross multiply
   37,256x = 80,821 × 80,821
4. Step 4: Simplify right side
   37,256x = 6,532,034,041
5. Step 5: Solve for x
   x = 6,532,034,041/37,256
6. Step 6: Final answer
   x = 175,328.38