Finding the Third Proportional to 24,662 and 52,852

Step by Step Solution

1. Step 1: Write the proportion equation
   24,662 : 52,852 = 52,852 : x
2. Step 2: Convert to fraction form
   24,662/52,852 = 52,852/x
3. Step 3: Cross multiply
   24,662x = 52,852 × 52,852
4. Step 4: Simplify right side
   24,662x = 2,793,333,904
5. Step 5: Solve for x
   x = 2,793,333,904/24,662
6. Step 6: Final answer
   x = 113,264.69