Finding the Third Proportional to 12,564 and 17,858.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,564 : 17,858.25 = 17,858.25 : x
2. Step 2: Convert to fraction form
   12,564/17,858.25 = 17,858.25/x
3. Step 3: Cross multiply
   12,564x = 17,858.25 × 17,858.25
4. Step 4: Simplify right side
   12,564x = 318,917,093.06
5. Step 5: Solve for x
   x = 318,917,093.06/12,564
6. Step 6: Final answer
   x = 25,383.40