Finding the Third Proportional to 12,546 and 18,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,546 : 18,361.50 = 18,361.50 : x
2. Step 2: Convert to fraction form
   12,546/18,361.50 = 18,361.50/x
3. Step 3: Cross multiply
   12,546x = 18,361.50 × 18,361.50
4. Step 4: Simplify right side
   12,546x = 337,144,682.25
5. Step 5: Solve for x
   x = 337,144,682.25/12,546
6. Step 6: Final answer
   x = 26,872.68