Finding the Third Proportional to 37,383 and 81,732

Step by Step Solution

1. Step 1: Write the proportion equation
   37,383 : 81,732 = 81,732 : x
2. Step 2: Convert to fraction form
   37,383/81,732 = 81,732/x
3. Step 3: Cross multiply
   37,383x = 81,732 × 81,732
4. Step 4: Simplify right side
   37,383x = 6,680,119,824
5. Step 5: Solve for x
   x = 6,680,119,824/37,383
6. Step 6: Final answer
   x = 178,694.05