Finding the Third Proportional to 37,390 and 82,555

Step by Step Solution

1. Step 1: Write the proportion equation
   37,390 : 82,555 = 82,555 : x
2. Step 2: Convert to fraction form
   37,390/82,555 = 82,555/x
3. Step 3: Cross multiply
   37,390x = 82,555 × 82,555
4. Step 4: Simplify right side
   37,390x = 6,815,328,025
5. Step 5: Solve for x
   x = 6,815,328,025/37,390
6. Step 6: Final answer
   x = 182,276.76