Finding the Third Proportional to 22,767 and 31,098

Step by Step Solution

1. Step 1: Write the proportion equation
   22,767 : 31,098 = 31,098 : x
2. Step 2: Convert to fraction form
   22,767/31,098 = 31,098/x
3. Step 3: Cross multiply
   22,767x = 31,098 × 31,098
4. Step 4: Simplify right side
   22,767x = 967,085,604
5. Step 5: Solve for x
   x = 967,085,604/22,767
6. Step 6: Final answer
   x = 42,477.52