Finding the Third Proportional to 37,665 and 81,884

Step by Step Solution

1. Step 1: Write the proportion equation
   37,665 : 81,884 = 81,884 : x
2. Step 2: Convert to fraction form
   37,665/81,884 = 81,884/x
3. Step 3: Cross multiply
   37,665x = 81,884 × 81,884
4. Step 4: Simplify right side
   37,665x = 6,704,989,456
5. Step 5: Solve for x
   x = 6,704,989,456/37,665
6. Step 6: Final answer
   x = 178,016.45