Finding the Third Proportional to 23,114 and 33,031

Step by Step Solution

1. Step 1: Write the proportion equation
   23,114 : 33,031 = 33,031 : x
2. Step 2: Convert to fraction form
   23,114/33,031 = 33,031/x
3. Step 3: Cross multiply
   23,114x = 33,031 × 33,031
4. Step 4: Simplify right side
   23,114x = 1,091,046,961
5. Step 5: Solve for x
   x = 1,091,046,961/23,114
6. Step 6: Final answer
   x = 47,202.86