Finding the Third Proportional to 12,809.81 and 18,586.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,809.81 : 18,586.13 = 18,586.13 : x
2. Step 2: Convert to fraction form
   12,809.81/18,586.13 = 18,586.13/x
3. Step 3: Cross multiply
   12,809.81x = 18,586.13 × 18,586.13
4. Step 4: Simplify right side
   12,809.81x = 345,444,042.52
5. Step 5: Solve for x
   x = 345,444,042.52/12,809.81
6. Step 6: Final answer
   x = 26,967.14