Finding the Third Proportional to 37,560 and 82,884

Step by Step Solution

1. Step 1: Write the proportion equation
   37,560 : 82,884 = 82,884 : x
2. Step 2: Convert to fraction form
   37,560/82,884 = 82,884/x
3. Step 3: Cross multiply
   37,560x = 82,884 × 82,884
4. Step 4: Simplify right side
   37,560x = 6,869,757,456
5. Step 5: Solve for x
   x = 6,869,757,456/37,560
6. Step 6: Final answer
   x = 182,900.89