Finding the Third Proportional to 29,802 and 65,508

Step by Step Solution

1. Step 1: Write the proportion equation
   29,802 : 65,508 = 65,508 : x
2. Step 2: Convert to fraction form
   29,802/65,508 = 65,508/x
3. Step 3: Cross multiply
   29,802x = 65,508 × 65,508
4. Step 4: Simplify right side
   29,802x = 4,291,298,064
5. Step 5: Solve for x
   x = 4,291,298,064/29,802
6. Step 6: Final answer
   x = 143,993.63