Finding the Third Proportional to 37,919 and 59,478

Step by Step Solution

1. Step 1: Write the proportion equation
   37,919 : 59,478 = 59,478 : x
2. Step 2: Convert to fraction form
   37,919/59,478 = 59,478/x
3. Step 3: Cross multiply
   37,919x = 59,478 × 59,478
4. Step 4: Simplify right side
   37,919x = 3,537,632,484
5. Step 5: Solve for x
   x = 3,537,632,484/37,919
6. Step 6: Final answer
   x = 93,294.46