Finding the Third Proportional to 23,264 and 33,760

Step by Step Solution

1. Step 1: Write the proportion equation
   23,264 : 33,760 = 33,760 : x
2. Step 2: Convert to fraction form
   23,264/33,760 = 33,760/x
3. Step 3: Cross multiply
   23,264x = 33,760 × 33,760
4. Step 4: Simplify right side
   23,264x = 1,139,737,600
5. Step 5: Solve for x
   x = 1,139,737,600/23,264
6. Step 6: Final answer
   x = 48,991.47