Finding the Third Proportional to 37,208 and 80,707

Step by Step Solution

1. Step 1: Write the proportion equation
   37,208 : 80,707 = 80,707 : x
2. Step 2: Convert to fraction form
   37,208/80,707 = 80,707/x
3. Step 3: Cross multiply
   37,208x = 80,707 × 80,707
4. Step 4: Simplify right side
   37,208x = 6,513,619,849
5. Step 5: Solve for x
   x = 6,513,619,849/37,208
6. Step 6: Final answer
   x = 175,059.66