Finding the Third Proportional to 37,859 and 82,346

Step by Step Solution

1. Step 1: Write the proportion equation
   37,859 : 82,346 = 82,346 : x
2. Step 2: Convert to fraction form
   37,859/82,346 = 82,346/x
3. Step 3: Cross multiply
   37,859x = 82,346 × 82,346
4. Step 4: Simplify right side
   37,859x = 6,780,863,716
5. Step 5: Solve for x
   x = 6,780,863,716/37,859
6. Step 6: Final answer
   x = 179,108.37