Finding the Third Proportional to 30,129 and 65,616

Step by Step Solution

1. Step 1: Write the proportion equation
   30,129 : 65,616 = 65,616 : x
2. Step 2: Convert to fraction form
   30,129/65,616 = 65,616/x
3. Step 3: Cross multiply
   30,129x = 65,616 × 65,616
4. Step 4: Simplify right side
   30,129x = 4,305,459,456
5. Step 5: Solve for x
   x = 4,305,459,456/30,129
6. Step 6: Final answer
   x = 142,900.84