Finding the Third Proportional to 37,414 and 80,762

Step by Step Solution

1. Step 1: Write the proportion equation
   37,414 : 80,762 = 80,762 : x
2. Step 2: Convert to fraction form
   37,414/80,762 = 80,762/x
3. Step 3: Cross multiply
   37,414x = 80,762 × 80,762
4. Step 4: Simplify right side
   37,414x = 6,522,500,644
5. Step 5: Solve for x
   x = 6,522,500,644/37,414
6. Step 6: Final answer
   x = 174,333.15