Finding the Third Proportional to 25,839 and 56,522.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,839 : 56,522.25 = 56,522.25 : x
2. Step 2: Convert to fraction form
   25,839/56,522.25 = 56,522.25/x
3. Step 3: Cross multiply
   25,839x = 56,522.25 × 56,522.25
4. Step 4: Simplify right side
   25,839x = 3,194,764,745.06
5. Step 5: Solve for x
   x = 3,194,764,745.06/25,839
6. Step 6: Final answer
   x = 123,641.19