Finding the Third Proportional to 7,938 and 17,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,938 : 17,743.50 = 17,743.50 : x
2. Step 2: Convert to fraction form
   7,938/17,743.50 = 17,743.50/x
3. Step 3: Cross multiply
   7,938x = 17,743.50 × 17,743.50
4. Step 4: Simplify right side
   7,938x = 314,831,792.25
5. Step 5: Solve for x
   x = 314,831,792.25/7,938
6. Step 6: Final answer
   x = 39,661.35