Finding the Third Proportional to 23,829 and 35,050

Step by Step Solution

1. Step 1: Write the proportion equation
   23,829 : 35,050 = 35,050 : x
2. Step 2: Convert to fraction form
   23,829/35,050 = 35,050/x
3. Step 3: Cross multiply
   23,829x = 35,050 × 35,050
4. Step 4: Simplify right side
   23,829x = 1,228,502,500
5. Step 5: Solve for x
   x = 1,228,502,500/23,829
6. Step 6: Final answer
   x = 51,554.93