Finding the Third Proportional to 25,589 and 55,066

Step by Step Solution

1. Step 1: Write the proportion equation
   25,589 : 55,066 = 55,066 : x
2. Step 2: Convert to fraction form
   25,589/55,066 = 55,066/x
3. Step 3: Cross multiply
   25,589x = 55,066 × 55,066
4. Step 4: Simplify right side
   25,589x = 3,032,264,356
5. Step 5: Solve for x
   x = 3,032,264,356/25,589
6. Step 6: Final answer
   x = 118,498.74