Finding the Third Proportional to 13,746 and 30,640

Step by Step Solution

1. Step 1: Write the proportion equation
   13,746 : 30,640 = 30,640 : x
2. Step 2: Convert to fraction form
   13,746/30,640 = 30,640/x
3. Step 3: Cross multiply
   13,746x = 30,640 × 30,640
4. Step 4: Simplify right side
   13,746x = 938,809,600
5. Step 5: Solve for x
   x = 938,809,600/13,746
6. Step 6: Final answer
   x = 68,296.93