Finding the Third Proportional to 11,578 and 13,402

Step by Step Solution

1. Step 1: Write the proportion equation
   11,578 : 13,402 = 13,402 : x
2. Step 2: Convert to fraction form
   11,578/13,402 = 13,402/x
3. Step 3: Cross multiply
   11,578x = 13,402 × 13,402
4. Step 4: Simplify right side
   11,578x = 179,613,604
5. Step 5: Solve for x
   x = 179,613,604/11,578
6. Step 6: Final answer
   x = 15,513.35