Finding the Third Proportional to 25,914 and 55,791

Step by Step Solution

1. Step 1: Write the proportion equation
   25,914 : 55,791 = 55,791 : x
2. Step 2: Convert to fraction form
   25,914/55,791 = 55,791/x
3. Step 3: Cross multiply
   25,914x = 55,791 × 55,791
4. Step 4: Simplify right side
   25,914x = 3,112,635,681
5. Step 5: Solve for x
   x = 3,112,635,681/25,914
6. Step 6: Final answer
   x = 120,114.06