Finding the Third Proportional to 29,839 and 65,002

Step by Step Solution

1. Step 1: Write the proportion equation
   29,839 : 65,002 = 65,002 : x
2. Step 2: Convert to fraction form
   29,839/65,002 = 65,002/x
3. Step 3: Cross multiply
   29,839x = 65,002 × 65,002
4. Step 4: Simplify right side
   29,839x = 4,225,260,004
5. Step 5: Solve for x
   x = 4,225,260,004/29,839
6. Step 6: Final answer
   x = 141,601.93