Finding the Third Proportional to 34,800 and 55,456

Step by Step Solution

1. Step 1: Write the proportion equation
   34,800 : 55,456 = 55,456 : x
2. Step 2: Convert to fraction form
   34,800/55,456 = 55,456/x
3. Step 3: Cross multiply
   34,800x = 55,456 × 55,456
4. Step 4: Simplify right side
   34,800x = 3,075,367,936
5. Step 5: Solve for x
   x = 3,075,367,936/34,800
6. Step 6: Final answer
   x = 88,372.64