Finding the Third Proportional to 22,106 and 31,071

Step by Step Solution

1. Step 1: Write the proportion equation
   22,106 : 31,071 = 31,071 : x
2. Step 2: Convert to fraction form
   22,106/31,071 = 31,071/x
3. Step 3: Cross multiply
   22,106x = 31,071 × 31,071
4. Step 4: Simplify right side
   22,106x = 965,407,041
5. Step 5: Solve for x
   x = 965,407,041/22,106
6. Step 6: Final answer
   x = 43,671.72