Finding the Third Proportional to 5,996 and 13,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,996 : 13,084.50 = 13,084.50 : x
2. Step 2: Convert to fraction form
   5,996/13,084.50 = 13,084.50/x
3. Step 3: Cross multiply
   5,996x = 13,084.50 × 13,084.50
4. Step 4: Simplify right side
   5,996x = 171,204,140.25
5. Step 5: Solve for x
   x = 171,204,140.25/5,996
6. Step 6: Final answer
   x = 28,553.06