Finding the Third Proportional to 37,768 and 82,992

Step by Step Solution

1. Step 1: Write the proportion equation
   37,768 : 82,992 = 82,992 : x
2. Step 2: Convert to fraction form
   37,768/82,992 = 82,992/x
3. Step 3: Cross multiply
   37,768x = 82,992 × 82,992
4. Step 4: Simplify right side
   37,768x = 6,887,672,064
5. Step 5: Solve for x
   x = 6,887,672,064/37,768
6. Step 6: Final answer
   x = 182,367.93