Finding the Third Proportional to 6,234 and 12,693

Step by Step Solution

1. Step 1: Write the proportion equation
   6,234 : 12,693 = 12,693 : x
2. Step 2: Convert to fraction form
   6,234/12,693 = 12,693/x
3. Step 3: Cross multiply
   6,234x = 12,693 × 12,693
4. Step 4: Simplify right side
   6,234x = 161,112,249
5. Step 5: Solve for x
   x = 161,112,249/6,234
6. Step 6: Final answer
   x = 25,844.12