Finding the Third Proportional to 37,944 and 81,504

Step by Step Solution

1. Step 1: Write the proportion equation
   37,944 : 81,504 = 81,504 : x
2. Step 2: Convert to fraction form
   37,944/81,504 = 81,504/x
3. Step 3: Cross multiply
   37,944x = 81,504 × 81,504
4. Step 4: Simplify right side
   37,944x = 6,642,902,016
5. Step 5: Solve for x
   x = 6,642,902,016/37,944
6. Step 6: Final answer
   x = 175,071.21