Finding the Third Proportional to 37,613 and 80,410

Step by Step Solution

1. Step 1: Write the proportion equation
   37,613 : 80,410 = 80,410 : x
2. Step 2: Convert to fraction form
   37,613/80,410 = 80,410/x
3. Step 3: Cross multiply
   37,613x = 80,410 × 80,410
4. Step 4: Simplify right side
   37,613x = 6,465,768,100
5. Step 5: Solve for x
   x = 6,465,768,100/37,613
6. Step 6: Final answer
   x = 171,902.48