Finding the Third Proportional to 25,936 and 56,583

Step by Step Solution

1. Step 1: Write the proportion equation
   25,936 : 56,583 = 56,583 : x
2. Step 2: Convert to fraction form
   25,936/56,583 = 56,583/x
3. Step 3: Cross multiply
   25,936x = 56,583 × 56,583
4. Step 4: Simplify right side
   25,936x = 3,201,635,889
5. Step 5: Solve for x
   x = 3,201,635,889/25,936
6. Step 6: Final answer
   x = 123,443.70