Finding the Third Proportional to 37,796 and 82,500

Step by Step Solution

1. Step 1: Write the proportion equation
   37,796 : 82,500 = 82,500 : x
2. Step 2: Convert to fraction form
   37,796/82,500 = 82,500/x
3. Step 3: Cross multiply
   37,796x = 82,500 × 82,500
4. Step 4: Simplify right side
   37,796x = 6,806,250,000
5. Step 5: Solve for x
   x = 6,806,250,000/37,796
6. Step 6: Final answer
   x = 180,078.58