Finding the Third Proportional to 37,719 and 82,692

Step by Step Solution

1. Step 1: Write the proportion equation
   37,719 : 82,692 = 82,692 : x
2. Step 2: Convert to fraction form
   37,719/82,692 = 82,692/x
3. Step 3: Cross multiply
   37,719x = 82,692 × 82,692
4. Step 4: Simplify right side
   37,719x = 6,837,966,864
5. Step 5: Solve for x
   x = 6,837,966,864/37,719
6. Step 6: Final answer
   x = 181,287.07