Finding the Third Proportional to 5,936.50 and 12,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,936.50 : 12,824.50 = 12,824.50 : x
2. Step 2: Convert to fraction form
   5,936.50/12,824.50 = 12,824.50/x
3. Step 3: Cross multiply
   5,936.50x = 12,824.50 × 12,824.50
4. Step 4: Simplify right side
   5,936.50x = 164,467,800.25
5. Step 5: Solve for x
   x = 164,467,800.25/5,936.50
6. Step 6: Final answer
   x = 27,704.51