Finding the Third Proportional to 23,109 and 33,046

Step by Step Solution

1. Step 1: Write the proportion equation
   23,109 : 33,046 = 33,046 : x
2. Step 2: Convert to fraction form
   23,109/33,046 = 33,046/x
3. Step 3: Cross multiply
   23,109x = 33,046 × 33,046
4. Step 4: Simplify right side
   23,109x = 1,092,038,116
5. Step 5: Solve for x
   x = 1,092,038,116/23,109
6. Step 6: Final answer
   x = 47,255.97