Finding the Third Proportional to 6,259 and 13,499

Step by Step Solution

1. Step 1: Write the proportion equation
   6,259 : 13,499 = 13,499 : x
2. Step 2: Convert to fraction form
   6,259/13,499 = 13,499/x
3. Step 3: Cross multiply
   6,259x = 13,499 × 13,499
4. Step 4: Simplify right side
   6,259x = 182,223,001
5. Step 5: Solve for x
   x = 182,223,001/6,259
6. Step 6: Final answer
   x = 29,113.76