Finding the Third Proportional to 12,384 and 17,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,384 : 17,647.50 = 17,647.50 : x
2. Step 2: Convert to fraction form
   12,384/17,647.50 = 17,647.50/x
3. Step 3: Cross multiply
   12,384x = 17,647.50 × 17,647.50
4. Step 4: Simplify right side
   12,384x = 311,434,256.25
5. Step 5: Solve for x
   x = 311,434,256.25/12,384
6. Step 6: Final answer
   x = 25,148.12