Finding the Third Proportional to 12,535 and 25,864

Step by Step Solution

1. Step 1: Write the proportion equation
   12,535 : 25,864 = 25,864 : x
2. Step 2: Convert to fraction form
   12,535/25,864 = 25,864/x
3. Step 3: Cross multiply
   12,535x = 25,864 × 25,864
4. Step 4: Simplify right side
   12,535x = 668,946,496
5. Step 5: Solve for x
   x = 668,946,496/12,535
6. Step 6: Final answer
   x = 53,366.29