Finding the Third Proportional to 37,644 and 82,672

Step by Step Solution

1. Step 1: Write the proportion equation
   37,644 : 82,672 = 82,672 : x
2. Step 2: Convert to fraction form
   37,644/82,672 = 82,672/x
3. Step 3: Cross multiply
   37,644x = 82,672 × 82,672
4. Step 4: Simplify right side
   37,644x = 6,834,659,584
5. Step 5: Solve for x
   x = 6,834,659,584/37,644
6. Step 6: Final answer
   x = 181,560.40