Finding the Third Proportional to 37,518 and 80,057

Step by Step Solution

1. Step 1: Write the proportion equation
   37,518 : 80,057 = 80,057 : x
2. Step 2: Convert to fraction form
   37,518/80,057 = 80,057/x
3. Step 3: Cross multiply
   37,518x = 80,057 × 80,057
4. Step 4: Simplify right side
   37,518x = 6,409,123,249
5. Step 5: Solve for x
   x = 6,409,123,249/37,518
6. Step 6: Final answer
   x = 170,827.96