Finding the Third Proportional to 23,264 and 33,229

Step by Step Solution

1. Step 1: Write the proportion equation
   23,264 : 33,229 = 33,229 : x
2. Step 2: Convert to fraction form
   23,264/33,229 = 33,229/x
3. Step 3: Cross multiply
   23,264x = 33,229 × 33,229
4. Step 4: Simplify right side
   23,264x = 1,104,166,441
5. Step 5: Solve for x
   x = 1,104,166,441/23,264
6. Step 6: Final answer
   x = 47,462.45