Finding the Third Proportional to 37,840 and 82,242

Step by Step Solution

1. Step 1: Write the proportion equation
   37,840 : 82,242 = 82,242 : x
2. Step 2: Convert to fraction form
   37,840/82,242 = 82,242/x
3. Step 3: Cross multiply
   37,840x = 82,242 × 82,242
4. Step 4: Simplify right side
   37,840x = 6,763,746,564
5. Step 5: Solve for x
   x = 6,763,746,564/37,840
6. Step 6: Final answer
   x = 178,745.95