Finding the Third Proportional to 23,824 and 35,046

Step by Step Solution

1. Step 1: Write the proportion equation
   23,824 : 35,046 = 35,046 : x
2. Step 2: Convert to fraction form
   23,824/35,046 = 35,046/x
3. Step 3: Cross multiply
   23,824x = 35,046 × 35,046
4. Step 4: Simplify right side
   23,824x = 1,228,222,116
5. Step 5: Solve for x
   x = 1,228,222,116/23,824
6. Step 6: Final answer
   x = 51,553.98