Finding the Third Proportional to 5,586 and 13,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,586 : 13,693.50 = 13,693.50 : x
2. Step 2: Convert to fraction form
   5,586/13,693.50 = 13,693.50/x
3. Step 3: Cross multiply
   5,586x = 13,693.50 × 13,693.50
4. Step 4: Simplify right side
   5,586x = 187,511,942.25
5. Step 5: Solve for x
   x = 187,511,942.25/5,586
6. Step 6: Final answer
   x = 33,568.20