Finding the Third Proportional to 37,890 and 82,564

Step by Step Solution

1. Step 1: Write the proportion equation
   37,890 : 82,564 = 82,564 : x
2. Step 2: Convert to fraction form
   37,890/82,564 = 82,564/x
3. Step 3: Cross multiply
   37,890x = 82,564 × 82,564
4. Step 4: Simplify right side
   37,890x = 6,816,814,096
5. Step 5: Solve for x
   x = 6,816,814,096/37,890
6. Step 6: Final answer
   x = 179,910.64