Finding the Third Proportional to 11,627 and 25,066

Step by Step Solution

1. Step 1: Write the proportion equation
   11,627 : 25,066 = 25,066 : x
2. Step 2: Convert to fraction form
   11,627/25,066 = 25,066/x
3. Step 3: Cross multiply
   11,627x = 25,066 × 25,066
4. Step 4: Simplify right side
   11,627x = 628,304,356
5. Step 5: Solve for x
   x = 628,304,356/11,627
6. Step 6: Final answer
   x = 54,038.39