Finding the Third Proportional to 35,816 and 54,828

Step by Step Solution

1. Step 1: Write the proportion equation
   35,816 : 54,828 = 54,828 : x
2. Step 2: Convert to fraction form
   35,816/54,828 = 54,828/x
3. Step 3: Cross multiply
   35,816x = 54,828 × 54,828
4. Step 4: Simplify right side
   35,816x = 3,006,109,584
5. Step 5: Solve for x
   x = 3,006,109,584/35,816
6. Step 6: Final answer
   x = 83,932.03