Finding the Third Proportional to 65,400 and 103,628

Step by Step Solution

1. Step 1: Write the proportion equation
   65,400 : 103,628 = 103,628 : x
2. Step 2: Convert to fraction form
   65,400/103,628 = 103,628/x
3. Step 3: Cross multiply
   65,400x = 103,628 × 103,628
4. Step 4: Simplify right side
   65,400x = 10,738,762,384
5. Step 5: Solve for x
   x = 10,738,762,384/65,400
6. Step 6: Final answer
   x = 164,201.26