Finding the Third Proportional to 22,193 and 31,217

Step by Step Solution

1. Step 1: Write the proportion equation
   22,193 : 31,217 = 31,217 : x
2. Step 2: Convert to fraction form
   22,193/31,217 = 31,217/x
3. Step 3: Cross multiply
   22,193x = 31,217 × 31,217
4. Step 4: Simplify right side
   22,193x = 974,501,089
5. Step 5: Solve for x
   x = 974,501,089/22,193
6. Step 6: Final answer
   x = 43,910.29