Finding the Third Proportional to 40,824 and 59,838

Step by Step Solution

1. Step 1: Write the proportion equation
   40,824 : 59,838 = 59,838 : x
2. Step 2: Convert to fraction form
   40,824/59,838 = 59,838/x
3. Step 3: Cross multiply
   40,824x = 59,838 × 59,838
4. Step 4: Simplify right side
   40,824x = 3,580,586,244
5. Step 5: Solve for x
   x = 3,580,586,244/40,824
6. Step 6: Final answer
   x = 87,707.87