Finding the Third Proportional to 6,810 and 12,558

Step by Step Solution

1. Step 1: Write the proportion equation
   6,810 : 12,558 = 12,558 : x
2. Step 2: Convert to fraction form
   6,810/12,558 = 12,558/x
3. Step 3: Cross multiply
   6,810x = 12,558 × 12,558
4. Step 4: Simplify right side
   6,810x = 157,703,364
5. Step 5: Solve for x
   x = 157,703,364/6,810
6. Step 6: Final answer
   x = 23,157.62