Finding the Third Proportional to 37,546 and 80,870

Step by Step Solution

1. Step 1: Write the proportion equation
   37,546 : 80,870 = 80,870 : x
2. Step 2: Convert to fraction form
   37,546/80,870 = 80,870/x
3. Step 3: Cross multiply
   37,546x = 80,870 × 80,870
4. Step 4: Simplify right side
   37,546x = 6,539,956,900
5. Step 5: Solve for x
   x = 6,539,956,900/37,546
6. Step 6: Final answer
   x = 174,185.18