Finding the Third Proportional to 19,152 and 25,864

Step by Step Solution

1. Step 1: Write the proportion equation
   19,152 : 25,864 = 25,864 : x
2. Step 2: Convert to fraction form
   19,152/25,864 = 25,864/x
3. Step 3: Cross multiply
   19,152x = 25,864 × 25,864
4. Step 4: Simplify right side
   19,152x = 668,946,496
5. Step 5: Solve for x
   x = 668,946,496/19,152
6. Step 6: Final answer
   x = 34,928.28