Finding the Third Proportional to 11,806 and 13,030

Step by Step Solution

1. Step 1: Write the proportion equation
   11,806 : 13,030 = 13,030 : x
2. Step 2: Convert to fraction form
   11,806/13,030 = 13,030/x
3. Step 3: Cross multiply
   11,806x = 13,030 × 13,030
4. Step 4: Simplify right side
   11,806x = 169,780,900
5. Step 5: Solve for x
   x = 169,780,900/11,806
6. Step 6: Final answer
   x = 14,380.90