Finding the Third Proportional to 6,591 and 14,123

Step by Step Solution

1. Step 1: Write the proportion equation
   6,591 : 14,123 = 14,123 : x
2. Step 2: Convert to fraction form
   6,591/14,123 = 14,123/x
3. Step 3: Cross multiply
   6,591x = 14,123 × 14,123
4. Step 4: Simplify right side
   6,591x = 199,459,129
5. Step 5: Solve for x
   x = 199,459,129/6,591
6. Step 6: Final answer
   x = 30,262.35