Finding the Third Proportional to 23,106 and 33,795

Step by Step Solution

1. Step 1: Write the proportion equation
   23,106 : 33,795 = 33,795 : x
2. Step 2: Convert to fraction form
   23,106/33,795 = 33,795/x
3. Step 3: Cross multiply
   23,106x = 33,795 × 33,795
4. Step 4: Simplify right side
   23,106x = 1,142,102,025
5. Step 5: Solve for x
   x = 1,142,102,025/23,106
6. Step 6: Final answer
   x = 49,428.81