Finding the Third Proportional to 25,886 and 56,476

Step by Step Solution

1. Step 1: Write the proportion equation
   25,886 : 56,476 = 56,476 : x
2. Step 2: Convert to fraction form
   25,886/56,476 = 56,476/x
3. Step 3: Cross multiply
   25,886x = 56,476 × 56,476
4. Step 4: Simplify right side
   25,886x = 3,189,538,576
5. Step 5: Solve for x
   x = 3,189,538,576/25,886
6. Step 6: Final answer
   x = 123,214.81