Finding the Third Proportional to 23,178 and 33,107

Step by Step Solution

1. Step 1: Write the proportion equation
   23,178 : 33,107 = 33,107 : x
2. Step 2: Convert to fraction form
   23,178/33,107 = 33,107/x
3. Step 3: Cross multiply
   23,178x = 33,107 × 33,107
4. Step 4: Simplify right side
   23,178x = 1,096,073,449
5. Step 5: Solve for x
   x = 1,096,073,449/23,178
6. Step 6: Final answer
   x = 47,289.39