Finding the Third Proportional to 37,968 and 82,848

Step by Step Solution

1. Step 1: Write the proportion equation
   37,968 : 82,848 = 82,848 : x
2. Step 2: Convert to fraction form
   37,968/82,848 = 82,848/x
3. Step 3: Cross multiply
   37,968x = 82,848 × 82,848
4. Step 4: Simplify right side
   37,968x = 6,863,791,104
5. Step 5: Solve for x
   x = 6,863,791,104/37,968
6. Step 6: Final answer
   x = 180,778.32