Finding the Third Proportional to 34,920 and 55,296

Step by Step Solution

1. Step 1: Write the proportion equation
   34,920 : 55,296 = 55,296 : x
2. Step 2: Convert to fraction form
   34,920/55,296 = 55,296/x
3. Step 3: Cross multiply
   34,920x = 55,296 × 55,296
4. Step 4: Simplify right side
   34,920x = 3,057,647,616
5. Step 5: Solve for x
   x = 3,057,647,616/34,920
6. Step 6: Final answer
   x = 87,561.50