Finding the Third Proportional to 9,502 and 20,858

Step by Step Solution

1. Step 1: Write the proportion equation
   9,502 : 20,858 = 20,858 : x
2. Step 2: Convert to fraction form
   9,502/20,858 = 20,858/x
3. Step 3: Cross multiply
   9,502x = 20,858 × 20,858
4. Step 4: Simplify right side
   9,502x = 435,056,164
5. Step 5: Solve for x
   x = 435,056,164/9,502
6. Step 6: Final answer
   x = 45,785.75