Finding the Third Proportional to 5,989.50 and 13,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,989.50 : 13,989.50 = 13,989.50 : x
2. Step 2: Convert to fraction form
   5,989.50/13,989.50 = 13,989.50/x
3. Step 3: Cross multiply
   5,989.50x = 13,989.50 × 13,989.50
4. Step 4: Simplify right side
   5,989.50x = 195,706,110.25
5. Step 5: Solve for x
   x = 195,706,110.25/5,989.50
6. Step 6: Final answer
   x = 32,674.87