Finding the Third Proportional to 5,972.50 and 12,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,972.50 : 12,969.50 = 12,969.50 : x
2. Step 2: Convert to fraction form
   5,972.50/12,969.50 = 12,969.50/x
3. Step 3: Cross multiply
   5,972.50x = 12,969.50 × 12,969.50
4. Step 4: Simplify right side
   5,972.50x = 168,207,930.25
5. Step 5: Solve for x
   x = 168,207,930.25/5,972.50
6. Step 6: Final answer
   x = 28,163.74