Finding the Third Proportional to 37,419 and 81,996

Step by Step Solution

1. Step 1: Write the proportion equation
   37,419 : 81,996 = 81,996 : x
2. Step 2: Convert to fraction form
   37,419/81,996 = 81,996/x
3. Step 3: Cross multiply
   37,419x = 81,996 × 81,996
4. Step 4: Simplify right side
   37,419x = 6,723,344,016
5. Step 5: Solve for x
   x = 6,723,344,016/37,419
6. Step 6: Final answer
   x = 179,677.28