Finding the Third Proportional to 9,502 and 20,810

Step by Step Solution

1. Step 1: Write the proportion equation
   9,502 : 20,810 = 20,810 : x
2. Step 2: Convert to fraction form
   9,502/20,810 = 20,810/x
3. Step 3: Cross multiply
   9,502x = 20,810 × 20,810
4. Step 4: Simplify right side
   9,502x = 433,056,100
5. Step 5: Solve for x
   x = 433,056,100/9,502
6. Step 6: Final answer
   x = 45,575.26