Finding the Third Proportional to 3,586 and 7,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,586 : 7,748.50 = 7,748.50 : x
2. Step 2: Convert to fraction form
   3,586/7,748.50 = 7,748.50/x
3. Step 3: Cross multiply
   3,586x = 7,748.50 × 7,748.50
4. Step 4: Simplify right side
   3,586x = 60,039,252.25
5. Step 5: Solve for x
   x = 60,039,252.25/3,586
6. Step 6: Final answer
   x = 16,742.68