Finding the Third Proportional to 65,414 and 103,622

Step by Step Solution

1. Step 1: Write the proportion equation
   65,414 : 103,622 = 103,622 : x
2. Step 2: Convert to fraction form
   65,414/103,622 = 103,622/x
3. Step 3: Cross multiply
   65,414x = 103,622 × 103,622
4. Step 4: Simplify right side
   65,414x = 10,737,518,884
5. Step 5: Solve for x
   x = 10,737,518,884/65,414
6. Step 6: Final answer
   x = 164,147.11