Finding the Third Proportional to 11,596 and 15,426

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596 : 15,426 = 15,426 : x
2. Step 2: Convert to fraction form
   11,596/15,426 = 15,426/x
3. Step 3: Cross multiply
   11,596x = 15,426 × 15,426
4. Step 4: Simplify right side
   11,596x = 237,961,476
5. Step 5: Solve for x
   x = 237,961,476/11,596
6. Step 6: Final answer
   x = 20,521.00