Finding the Third Proportional to 35,424 and 54,816

Step by Step Solution

1. Step 1: Write the proportion equation
   35,424 : 54,816 = 54,816 : x
2. Step 2: Convert to fraction form
   35,424/54,816 = 54,816/x
3. Step 3: Cross multiply
   35,424x = 54,816 × 54,816
4. Step 4: Simplify right side
   35,424x = 3,004,793,856
5. Step 5: Solve for x
   x = 3,004,793,856/35,424
6. Step 6: Final answer
   x = 84,823.67