Finding the Third Proportional to 25,724 and 52,984

Step by Step Solution

1. Step 1: Write the proportion equation
   25,724 : 52,984 = 52,984 : x
2. Step 2: Convert to fraction form
   25,724/52,984 = 52,984/x
3. Step 3: Cross multiply
   25,724x = 52,984 × 52,984
4. Step 4: Simplify right side
   25,724x = 2,807,304,256
5. Step 5: Solve for x
   x = 2,807,304,256/25,724
6. Step 6: Final answer
   x = 109,131.72