Finding the Third Proportional to 37,728.50 and 82,009

Step by Step Solution

1. Step 1: Write the proportion equation
   37,728.50 : 82,009 = 82,009 : x
2. Step 2: Convert to fraction form
   37,728.50/82,009 = 82,009/x
3. Step 3: Cross multiply
   37,728.50x = 82,009 × 82,009
4. Step 4: Simplify right side
   37,728.50x = 6,725,476,081
5. Step 5: Solve for x
   x = 6,725,476,081/37,728.50
6. Step 6: Final answer
   x = 178,259.83