Finding the Third Proportional to 37,767 and 82,990

Step by Step Solution

1. Step 1: Write the proportion equation
   37,767 : 82,990 = 82,990 : x
2. Step 2: Convert to fraction form
   37,767/82,990 = 82,990/x
3. Step 3: Cross multiply
   37,767x = 82,990 × 82,990
4. Step 4: Simplify right side
   37,767x = 6,887,340,100
5. Step 5: Solve for x
   x = 6,887,340,100/37,767
6. Step 6: Final answer
   x = 182,363.97