Finding the Third Proportional to 37,870 and 80,598

Step by Step Solution

1. Step 1: Write the proportion equation
   37,870 : 80,598 = 80,598 : x
2. Step 2: Convert to fraction form
   37,870/80,598 = 80,598/x
3. Step 3: Cross multiply
   37,870x = 80,598 × 80,598
4. Step 4: Simplify right side
   37,870x = 6,496,037,604
5. Step 5: Solve for x
   x = 6,496,037,604/37,870
6. Step 6: Final answer
   x = 171,535.19