Finding the Third Proportional to 25,588 and 55,464

Step by Step Solution

1. Step 1: Write the proportion equation
   25,588 : 55,464 = 55,464 : x
2. Step 2: Convert to fraction form
   25,588/55,464 = 55,464/x
3. Step 3: Cross multiply
   25,588x = 55,464 × 55,464
4. Step 4: Simplify right side
   25,588x = 3,076,255,296
5. Step 5: Solve for x
   x = 3,076,255,296/25,588
6. Step 6: Final answer
   x = 120,222.58