Finding the Third Proportional to 37,291 and 72,689

Step by Step Solution

1. Step 1: Write the proportion equation
   37,291 : 72,689 = 72,689 : x
2. Step 2: Convert to fraction form
   37,291/72,689 = 72,689/x
3. Step 3: Cross multiply
   37,291x = 72,689 × 72,689
4. Step 4: Simplify right side
   37,291x = 5,283,690,721
5. Step 5: Solve for x
   x = 5,283,690,721/37,291
6. Step 6: Final answer
   x = 141,688.09