Finding the Third Proportional to 37,896 and 59,449

Step by Step Solution

1. Step 1: Write the proportion equation
   37,896 : 59,449 = 59,449 : x
2. Step 2: Convert to fraction form
   37,896/59,449 = 59,449/x
3. Step 3: Cross multiply
   37,896x = 59,449 × 59,449
4. Step 4: Simplify right side
   37,896x = 3,534,183,601
5. Step 5: Solve for x
   x = 3,534,183,601/37,896
6. Step 6: Final answer
   x = 93,260.07