Finding the Third Proportional to 21,189 and 31,074

Step by Step Solution

1. Step 1: Write the proportion equation
   21,189 : 31,074 = 31,074 : x
2. Step 2: Convert to fraction form
   21,189/31,074 = 31,074/x
3. Step 3: Cross multiply
   21,189x = 31,074 × 31,074
4. Step 4: Simplify right side
   21,189x = 965,593,476
5. Step 5: Solve for x
   x = 965,593,476/21,189
6. Step 6: Final answer
   x = 45,570.51