Finding the Third Proportional to 25,590 and 55,468

Step by Step Solution

1. Step 1: Write the proportion equation
   25,590 : 55,468 = 55,468 : x
2. Step 2: Convert to fraction form
   25,590/55,468 = 55,468/x
3. Step 3: Cross multiply
   25,590x = 55,468 × 55,468
4. Step 4: Simplify right side
   25,590x = 3,076,699,024
5. Step 5: Solve for x
   x = 3,076,699,024/25,590
6. Step 6: Final answer
   x = 120,230.52