Finding the Third Proportional to 37,872 and 82,014

Step by Step Solution

1. Step 1: Write the proportion equation
   37,872 : 82,014 = 82,014 : x
2. Step 2: Convert to fraction form
   37,872/82,014 = 82,014/x
3. Step 3: Cross multiply
   37,872x = 82,014 × 82,014
4. Step 4: Simplify right side
   37,872x = 6,726,296,196
5. Step 5: Solve for x
   x = 6,726,296,196/37,872
6. Step 6: Final answer
   x = 177,606.05