Finding the Third Proportional to 23,500 and 33,412

Step by Step Solution

1. Step 1: Write the proportion equation
   23,500 : 33,412 = 33,412 : x
2. Step 2: Convert to fraction form
   23,500/33,412 = 33,412/x
3. Step 3: Cross multiply
   23,500x = 33,412 × 33,412
4. Step 4: Simplify right side
   23,500x = 1,116,361,744
5. Step 5: Solve for x
   x = 1,116,361,744/23,500
6. Step 6: Final answer
   x = 47,504.76