Finding the Third Proportional to 37,992 and 83,208

Step by Step Solution

1. Step 1: Write the proportion equation
   37,992 : 83,208 = 83,208 : x
2. Step 2: Convert to fraction form
   37,992/83,208 = 83,208/x
3. Step 3: Cross multiply
   37,992x = 83,208 × 83,208
4. Step 4: Simplify right side
   37,992x = 6,923,571,264
5. Step 5: Solve for x
   x = 6,923,571,264/37,992
6. Step 6: Final answer
   x = 182,237.61