Finding the Third Proportional to 37,286 and 72,690

Step by Step Solution

1. Step 1: Write the proportion equation
   37,286 : 72,690 = 72,690 : x
2. Step 2: Convert to fraction form
   37,286/72,690 = 72,690/x
3. Step 3: Cross multiply
   37,286x = 72,690 × 72,690
4. Step 4: Simplify right side
   37,286x = 5,283,836,100
5. Step 5: Solve for x
   x = 5,283,836,100/37,286
6. Step 6: Final answer
   x = 141,710.99