Finding the Third Proportional to 12,627 and 26,561.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,627 : 26,561.25 = 26,561.25 : x
2. Step 2: Convert to fraction form
   12,627/26,561.25 = 26,561.25/x
3. Step 3: Cross multiply
   12,627x = 26,561.25 × 26,561.25
4. Step 4: Simplify right side
   12,627x = 705,500,001.56
5. Step 5: Solve for x
   x = 705,500,001.56/12,627
6. Step 6: Final answer
   x = 55,872.34