Finding the Third Proportional to 5,464 and 12,842

Step by Step Solution

1. Step 1: Write the proportion equation
   5,464 : 12,842 = 12,842 : x
2. Step 2: Convert to fraction form
   5,464/12,842 = 12,842/x
3. Step 3: Cross multiply
   5,464x = 12,842 × 12,842
4. Step 4: Simplify right side
   5,464x = 164,916,964
5. Step 5: Solve for x
   x = 164,916,964/5,464
6. Step 6: Final answer
   x = 30,182.46