Finding the Third Proportional to 12,456 and 25,641

Step by Step Solution

1. Step 1: Write the proportion equation
   12,456 : 25,641 = 25,641 : x
2. Step 2: Convert to fraction form
   12,456/25,641 = 25,641/x
3. Step 3: Cross multiply
   12,456x = 25,641 × 25,641
4. Step 4: Simplify right side
   12,456x = 657,460,881
5. Step 5: Solve for x
   x = 657,460,881/12,456
6. Step 6: Final answer
   x = 52,782.67