Finding the Third Proportional to 29,840 and 65,008

Step by Step Solution

1. Step 1: Write the proportion equation
   29,840 : 65,008 = 65,008 : x
2. Step 2: Convert to fraction form
   29,840/65,008 = 65,008/x
3. Step 3: Cross multiply
   29,840x = 65,008 × 65,008
4. Step 4: Simplify right side
   29,840x = 4,226,040,064
5. Step 5: Solve for x
   x = 4,226,040,064/29,840
6. Step 6: Final answer
   x = 141,623.33