Finding the Third Proportional to 22,640 and 34,194

Step by Step Solution

1. Step 1: Write the proportion equation
   22,640 : 34,194 = 34,194 : x
2. Step 2: Convert to fraction form
   22,640/34,194 = 34,194/x
3. Step 3: Cross multiply
   22,640x = 34,194 × 34,194
4. Step 4: Simplify right side
   22,640x = 1,169,229,636
5. Step 5: Solve for x
   x = 1,169,229,636/22,640
6. Step 6: Final answer
   x = 51,644.42