Finding the Third Proportional to 35,024 and 53,836

Step by Step Solution

1. Step 1: Write the proportion equation
   35,024 : 53,836 = 53,836 : x
2. Step 2: Convert to fraction form
   35,024/53,836 = 53,836/x
3. Step 3: Cross multiply
   35,024x = 53,836 × 53,836
4. Step 4: Simplify right side
   35,024x = 2,898,314,896
5. Step 5: Solve for x
   x = 2,898,314,896/35,024
6. Step 6: Final answer
   x = 82,752.25