Finding the Third Proportional to 11,624 and 25,435

Step by Step Solution

1. Step 1: Write the proportion equation
   11,624 : 25,435 = 25,435 : x
2. Step 2: Convert to fraction form
   11,624/25,435 = 25,435/x
3. Step 3: Cross multiply
   11,624x = 25,435 × 25,435
4. Step 4: Simplify right side
   11,624x = 646,939,225
5. Step 5: Solve for x
   x = 646,939,225/11,624
6. Step 6: Final answer
   x = 55,655.47