Finding the Third Proportional to 12,402 and 17,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,402 : 17,896.50 = 17,896.50 : x
2. Step 2: Convert to fraction form
   12,402/17,896.50 = 17,896.50/x
3. Step 3: Cross multiply
   12,402x = 17,896.50 × 17,896.50
4. Step 4: Simplify right side
   12,402x = 320,284,712.25
5. Step 5: Solve for x
   x = 320,284,712.25/12,402
6. Step 6: Final answer
   x = 25,825.25