Finding the Third Proportional to 12,396 and 17,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,396 : 17,743.50 = 17,743.50 : x
2. Step 2: Convert to fraction form
   12,396/17,743.50 = 17,743.50/x
3. Step 3: Cross multiply
   12,396x = 17,743.50 × 17,743.50
4. Step 4: Simplify right side
   12,396x = 314,831,792.25
5. Step 5: Solve for x
   x = 314,831,792.25/12,396
6. Step 6: Final answer
   x = 25,397.85