Finding the Third Proportional to 37,876 and 82,664

Step by Step Solution

1. Step 1: Write the proportion equation
   37,876 : 82,664 = 82,664 : x
2. Step 2: Convert to fraction form
   37,876/82,664 = 82,664/x
3. Step 3: Cross multiply
   37,876x = 82,664 × 82,664
4. Step 4: Simplify right side
   37,876x = 6,833,336,896
5. Step 5: Solve for x
   x = 6,833,336,896/37,876
6. Step 6: Final answer
   x = 180,413.37