Finding the Third Proportional to 23,106 and 33,042.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,106 : 33,042.75 = 33,042.75 : x
2. Step 2: Convert to fraction form
   23,106/33,042.75 = 33,042.75/x
3. Step 3: Cross multiply
   23,106x = 33,042.75 × 33,042.75
4. Step 4: Simplify right side
   23,106x = 1,091,823,327.56
5. Step 5: Solve for x
   x = 1,091,823,327.56/23,106
6. Step 6: Final answer
   x = 47,252.81