Finding the Third Proportional to 37,848 and 82,260

Step by Step Solution

1. Step 1: Write the proportion equation
   37,848 : 82,260 = 82,260 : x
2. Step 2: Convert to fraction form
   37,848/82,260 = 82,260/x
3. Step 3: Cross multiply
   37,848x = 82,260 × 82,260
4. Step 4: Simplify right side
   37,848x = 6,766,707,600
5. Step 5: Solve for x
   x = 6,766,707,600/37,848
6. Step 6: Final answer
   x = 178,786.40