Finding the Third Proportional to 23,122 and 33,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,122 : 33,040.50 = 33,040.50 : x
2. Step 2: Convert to fraction form
   23,122/33,040.50 = 33,040.50/x
3. Step 3: Cross multiply
   23,122x = 33,040.50 × 33,040.50
4. Step 4: Simplify right side
   23,122x = 1,091,674,640.25
5. Step 5: Solve for x
   x = 1,091,674,640.25/23,122
6. Step 6: Final answer
   x = 47,213.68