Finding the Third Proportional to 25,640 and 34,652

Step by Step Solution

1. Step 1: Write the proportion equation
   25,640 : 34,652 = 34,652 : x
2. Step 2: Convert to fraction form
   25,640/34,652 = 34,652/x
3. Step 3: Cross multiply
   25,640x = 34,652 × 34,652
4. Step 4: Simplify right side
   25,640x = 1,200,761,104
5. Step 5: Solve for x
   x = 1,200,761,104/25,640
6. Step 6: Final answer
   x = 46,831.56