Finding the Third Proportional to 5,932 and 13,402

Step by Step Solution

1. Step 1: Write the proportion equation
   5,932 : 13,402 = 13,402 : x
2. Step 2: Convert to fraction form
   5,932/13,402 = 13,402/x
3. Step 3: Cross multiply
   5,932x = 13,402 × 13,402
4. Step 4: Simplify right side
   5,932x = 179,613,604
5. Step 5: Solve for x
   x = 179,613,604/5,932
6. Step 6: Final answer
   x = 30,278.76