Finding the Third Proportional to 22,640 and 34,446

Step by Step Solution

1. Step 1: Write the proportion equation
   22,640 : 34,446 = 34,446 : x
2. Step 2: Convert to fraction form
   22,640/34,446 = 34,446/x
3. Step 3: Cross multiply
   22,640x = 34,446 × 34,446
4. Step 4: Simplify right side
   22,640x = 1,186,526,916
5. Step 5: Solve for x
   x = 1,186,526,916/22,640
6. Step 6: Final answer
   x = 52,408.43