Finding the Third Proportional to 29,838 and 65,004

Step by Step Solution

1. Step 1: Write the proportion equation
   29,838 : 65,004 = 65,004 : x
2. Step 2: Convert to fraction form
   29,838/65,004 = 65,004/x
3. Step 3: Cross multiply
   29,838x = 65,004 × 65,004
4. Step 4: Simplify right side
   29,838x = 4,225,520,016
5. Step 5: Solve for x
   x = 4,225,520,016/29,838
6. Step 6: Final answer
   x = 141,615.39