Finding the Third Proportional to 25,666 and 56,370

Step by Step Solution

1. Step 1: Write the proportion equation
   25,666 : 56,370 = 56,370 : x
2. Step 2: Convert to fraction form
   25,666/56,370 = 56,370/x
3. Step 3: Cross multiply
   25,666x = 56,370 × 56,370
4. Step 4: Simplify right side
   25,666x = 3,177,576,900
5. Step 5: Solve for x
   x = 3,177,576,900/25,666
6. Step 6: Final answer
   x = 123,804.91