Finding the Third Proportional to 37,992 and 82,536

Step by Step Solution

1. Step 1: Write the proportion equation
   37,992 : 82,536 = 82,536 : x
2. Step 2: Convert to fraction form
   37,992/82,536 = 82,536/x
3. Step 3: Cross multiply
   37,992x = 82,536 × 82,536
4. Step 4: Simplify right side
   37,992x = 6,812,191,296
5. Step 5: Solve for x
   x = 6,812,191,296/37,992
6. Step 6: Final answer
   x = 179,305.94