Finding the Third Proportional to 22,586 and 30,174

Step by Step Solution

1. Step 1: Write the proportion equation
   22,586 : 30,174 = 30,174 : x
2. Step 2: Convert to fraction form
   22,586/30,174 = 30,174/x
3. Step 3: Cross multiply
   22,586x = 30,174 × 30,174
4. Step 4: Simplify right side
   22,586x = 910,470,276
5. Step 5: Solve for x
   x = 910,470,276/22,586
6. Step 6: Final answer
   x = 40,311.27