Finding the Third Proportional to 35,969.50 and 54,456

Step by Step Solution

1. Step 1: Write the proportion equation
   35,969.50 : 54,456 = 54,456 : x
2. Step 2: Convert to fraction form
   35,969.50/54,456 = 54,456/x
3. Step 3: Cross multiply
   35,969.50x = 54,456 × 54,456
4. Step 4: Simplify right side
   35,969.50x = 2,965,455,936
5. Step 5: Solve for x
   x = 2,965,455,936/35,969.50
6. Step 6: Final answer
   x = 82,443.62