Finding the Third Proportional to 27,384 and 59,824

Step by Step Solution

1. Step 1: Write the proportion equation
   27,384 : 59,824 = 59,824 : x
2. Step 2: Convert to fraction form
   27,384/59,824 = 59,824/x
3. Step 3: Cross multiply
   27,384x = 59,824 × 59,824
4. Step 4: Simplify right side
   27,384x = 3,578,910,976
5. Step 5: Solve for x
   x = 3,578,910,976/27,384
6. Step 6: Final answer
   x = 130,693.51