Finding the Third Proportional to 23,830 and 35,339

Step by Step Solution

1. Step 1: Write the proportion equation
   23,830 : 35,339 = 35,339 : x
2. Step 2: Convert to fraction form
   23,830/35,339 = 35,339/x
3. Step 3: Cross multiply
   23,830x = 35,339 × 35,339
4. Step 4: Simplify right side
   23,830x = 1,248,844,921
5. Step 5: Solve for x
   x = 1,248,844,921/23,830
6. Step 6: Final answer
   x = 52,406.42