Finding the Third Proportional to 11,633 and 25,426

Step by Step Solution

1. Step 1: Write the proportion equation
   11,633 : 25,426 = 25,426 : x
2. Step 2: Convert to fraction form
   11,633/25,426 = 25,426/x
3. Step 3: Cross multiply
   11,633x = 25,426 × 25,426
4. Step 4: Simplify right side
   11,633x = 646,481,476
5. Step 5: Solve for x
   x = 646,481,476/11,633
6. Step 6: Final answer
   x = 55,573.07