Finding the Third Proportional to 25,763 and 56,447

Step by Step Solution

1. Step 1: Write the proportion equation
   25,763 : 56,447 = 56,447 : x
2. Step 2: Convert to fraction form
   25,763/56,447 = 56,447/x
3. Step 3: Cross multiply
   25,763x = 56,447 × 56,447
4. Step 4: Simplify right side
   25,763x = 3,186,263,809
5. Step 5: Solve for x
   x = 3,186,263,809/25,763
6. Step 6: Final answer
   x = 123,675.96