Finding the Third Proportional to 37,827 and 82,284

Step by Step Solution

1. Step 1: Write the proportion equation
   37,827 : 82,284 = 82,284 : x
2. Step 2: Convert to fraction form
   37,827/82,284 = 82,284/x
3. Step 3: Cross multiply
   37,827x = 82,284 × 82,284
4. Step 4: Simplify right side
   37,827x = 6,770,656,656
5. Step 5: Solve for x
   x = 6,770,656,656/37,827
6. Step 6: Final answer
   x = 178,990.05