Finding the Third Proportional to 37,646 and 80,290

Step by Step Solution

1. Step 1: Write the proportion equation
   37,646 : 80,290 = 80,290 : x
2. Step 2: Convert to fraction form
   37,646/80,290 = 80,290/x
3. Step 3: Cross multiply
   37,646x = 80,290 × 80,290
4. Step 4: Simplify right side
   37,646x = 6,446,484,100
5. Step 5: Solve for x
   x = 6,446,484,100/37,646
6. Step 6: Final answer
   x = 171,239.55