Finding the Third Proportional to 11,586 and 18,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,586 : 18,654.50 = 18,654.50 : x
2. Step 2: Convert to fraction form
   11,586/18,654.50 = 18,654.50/x
3. Step 3: Cross multiply
   11,586x = 18,654.50 × 18,654.50
4. Step 4: Simplify right side
   11,586x = 347,990,370.25
5. Step 5: Solve for x
   x = 347,990,370.25/11,586
6. Step 6: Final answer
   x = 30,035.42