Finding the Third Proportional to 20,149 and 30,643

Step by Step Solution

1. Step 1: Write the proportion equation
   20,149 : 30,643 = 30,643 : x
2. Step 2: Convert to fraction form
   20,149/30,643 = 30,643/x
3. Step 3: Cross multiply
   20,149x = 30,643 × 30,643
4. Step 4: Simplify right side
   20,149x = 938,993,449
5. Step 5: Solve for x
   x = 938,993,449/20,149
6. Step 6: Final answer
   x = 46,602.48