Finding the Third Proportional to 12,640 and 19,827

Step by Step Solution

1. Step 1: Write the proportion equation
   12,640 : 19,827 = 19,827 : x
2. Step 2: Convert to fraction form
   12,640/19,827 = 19,827/x
3. Step 3: Cross multiply
   12,640x = 19,827 × 19,827
4. Step 4: Simplify right side
   12,640x = 393,109,929
5. Step 5: Solve for x
   x = 393,109,929/12,640
6. Step 6: Final answer
   x = 31,100.47