Finding the Third Proportional to 6,789 and 13,254

Step by Step Solution

1. Step 1: Write the proportion equation
   6,789 : 13,254 = 13,254 : x
2. Step 2: Convert to fraction form
   6,789/13,254 = 13,254/x
3. Step 3: Cross multiply
   6,789x = 13,254 × 13,254
4. Step 4: Simplify right side
   6,789x = 175,668,516
5. Step 5: Solve for x
   x = 175,668,516/6,789
6. Step 6: Final answer
   x = 25,875.46