Finding the Third Proportional to 35,235 and 53,968.78

Step by Step Solution

1. Step 1: Write the proportion equation
   35,235 : 53,968.78 = 53,968.78 : x
2. Step 2: Convert to fraction form
   35,235/53,968.78 = 53,968.78/x
3. Step 3: Cross multiply
   35,235x = 53,968.78 × 53,968.78
4. Step 4: Simplify right side
   35,235x = 2,912,629,349.61
5. Step 5: Solve for x
   x = 2,912,629,349.61/35,235
6. Step 6: Final answer
   x = 82,662.96