Finding the Third Proportional to 12,784 and 25,022

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784 : 25,022 = 25,022 : x
2. Step 2: Convert to fraction form
   12,784/25,022 = 25,022/x
3. Step 3: Cross multiply
   12,784x = 25,022 × 25,022
4. Step 4: Simplify right side
   12,784x = 626,100,484
5. Step 5: Solve for x
   x = 626,100,484/12,784
6. Step 6: Final answer
   x = 48,975.32