Finding the Third Proportional to 37,644 and 80,468

Step by Step Solution

1. Step 1: Write the proportion equation
   37,644 : 80,468 = 80,468 : x
2. Step 2: Convert to fraction form
   37,644/80,468 = 80,468/x
3. Step 3: Cross multiply
   37,644x = 80,468 × 80,468
4. Step 4: Simplify right side
   37,644x = 6,475,099,024
5. Step 5: Solve for x
   x = 6,475,099,024/37,644
6. Step 6: Final answer
   x = 172,008.79