Finding the Third Proportional to 40,038 and 82,884

Step by Step Solution

1. Step 1: Write the proportion equation
   40,038 : 82,884 = 82,884 : x
2. Step 2: Convert to fraction form
   40,038/82,884 = 82,884/x
3. Step 3: Cross multiply
   40,038x = 82,884 × 82,884
4. Step 4: Simplify right side
   40,038x = 6,869,757,456
5. Step 5: Solve for x
   x = 6,869,757,456/40,038
6. Step 6: Final answer
   x = 171,580.93