Finding the Third Proportional to 65,420 and 103,760

Step by Step Solution

1. Step 1: Write the proportion equation
   65,420 : 103,760 = 103,760 : x
2. Step 2: Convert to fraction form
   65,420/103,760 = 103,760/x
3. Step 3: Cross multiply
   65,420x = 103,760 × 103,760
4. Step 4: Simplify right side
   65,420x = 10,766,137,600
5. Step 5: Solve for x
   x = 10,766,137,600/65,420
6. Step 6: Final answer
   x = 164,569.51