Finding the Third Proportional to 21,986 and 53,142

Step by Step Solution

1. Step 1: Write the proportion equation
   21,986 : 53,142 = 53,142 : x
2. Step 2: Convert to fraction form
   21,986/53,142 = 53,142/x
3. Step 3: Cross multiply
   21,986x = 53,142 × 53,142
4. Step 4: Simplify right side
   21,986x = 2,824,072,164
5. Step 5: Solve for x
   x = 2,824,072,164/21,986
6. Step 6: Final answer
   x = 128,448.66