Finding the Third Proportional to 20,510 and 30,829

Step by Step Solution

1. Step 1: Write the proportion equation
   20,510 : 30,829 = 30,829 : x
2. Step 2: Convert to fraction form
   20,510/30,829 = 30,829/x
3. Step 3: Cross multiply
   20,510x = 30,829 × 30,829
4. Step 4: Simplify right side
   20,510x = 950,427,241
5. Step 5: Solve for x
   x = 950,427,241/20,510
6. Step 6: Final answer
   x = 46,339.70