Finding the Third Proportional to 12,849.75 and 26,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,849.75 : 26,563.50 = 26,563.50 : x
2. Step 2: Convert to fraction form
   12,849.75/26,563.50 = 26,563.50/x
3. Step 3: Cross multiply
   12,849.75x = 26,563.50 × 26,563.50
4. Step 4: Simplify right side
   12,849.75x = 705,619,532.25
5. Step 5: Solve for x
   x = 705,619,532.25/12,849.75
6. Step 6: Final answer
   x = 54,913.09