Finding the Third Proportional to 11,644 and 24,602

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644 : 24,602 = 24,602 : x
2. Step 2: Convert to fraction form
   11,644/24,602 = 24,602/x
3. Step 3: Cross multiply
   11,644x = 24,602 × 24,602
4. Step 4: Simplify right side
   11,644x = 605,258,404
5. Step 5: Solve for x
   x = 605,258,404/11,644
6. Step 6: Final answer
   x = 51,980.28