Finding the Third Proportional to 37,792 and 59,856

Step by Step Solution

1. Step 1: Write the proportion equation
   37,792 : 59,856 = 59,856 : x
2. Step 2: Convert to fraction form
   37,792/59,856 = 59,856/x
3. Step 3: Cross multiply
   37,792x = 59,856 × 59,856
4. Step 4: Simplify right side
   37,792x = 3,582,740,736
5. Step 5: Solve for x
   x = 3,582,740,736/37,792
6. Step 6: Final answer
   x = 94,801.56