Finding the Third Proportional to 6,484 and 13,429

Step by Step Solution

1. Step 1: Write the proportion equation
   6,484 : 13,429 = 13,429 : x
2. Step 2: Convert to fraction form
   6,484/13,429 = 13,429/x
3. Step 3: Cross multiply
   6,484x = 13,429 × 13,429
4. Step 4: Simplify right side
   6,484x = 180,338,041
5. Step 5: Solve for x
   x = 180,338,041/6,484
6. Step 6: Final answer
   x = 27,812.78