Finding the Third Proportional to 12,456 and 18,506.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,456 : 18,506.25 = 18,506.25 : x
2. Step 2: Convert to fraction form
   12,456/18,506.25 = 18,506.25/x
3. Step 3: Cross multiply
   12,456x = 18,506.25 × 18,506.25
4. Step 4: Simplify right side
   12,456x = 342,481,289.06
5. Step 5: Solve for x
   x = 342,481,289.06/12,456
6. Step 6: Final answer
   x = 27,495.29