Finding the Third Proportional to 25,507 and 55,459

Step by Step Solution

1. Step 1: Write the proportion equation
   25,507 : 55,459 = 55,459 : x
2. Step 2: Convert to fraction form
   25,507/55,459 = 55,459/x
3. Step 3: Cross multiply
   25,507x = 55,459 × 55,459
4. Step 4: Simplify right side
   25,507x = 3,075,700,681
5. Step 5: Solve for x
   x = 3,075,700,681/25,507
6. Step 6: Final answer
   x = 120,582.61