Finding the Third Proportional to 23,830 and 35,463

Step by Step Solution

1. Step 1: Write the proportion equation
   23,830 : 35,463 = 35,463 : x
2. Step 2: Convert to fraction form
   23,830/35,463 = 35,463/x
3. Step 3: Cross multiply
   23,830x = 35,463 × 35,463
4. Step 4: Simplify right side
   23,830x = 1,257,624,369
5. Step 5: Solve for x
   x = 1,257,624,369/23,830
6. Step 6: Final answer
   x = 52,774.84