Finding the Third Proportional to 35,136 and 54,256

Step by Step Solution

1. Step 1: Write the proportion equation
   35,136 : 54,256 = 54,256 : x
2. Step 2: Convert to fraction form
   35,136/54,256 = 54,256/x
3. Step 3: Cross multiply
   35,136x = 54,256 × 54,256
4. Step 4: Simplify right side
   35,136x = 2,943,713,536
5. Step 5: Solve for x
   x = 2,943,713,536/35,136
6. Step 6: Final answer
   x = 83,780.55