Finding the Third Proportional to 12,627.50 and 26,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,627.50 : 26,559.50 = 26,559.50 : x
2. Step 2: Convert to fraction form
   12,627.50/26,559.50 = 26,559.50/x
3. Step 3: Cross multiply
   12,627.50x = 26,559.50 × 26,559.50
4. Step 4: Simplify right side
   12,627.50x = 705,407,040.25
5. Step 5: Solve for x
   x = 705,407,040.25/12,627.50
6. Step 6: Final answer
   x = 55,862.76