Finding the Third Proportional to 29,804 and 65,144

Step by Step Solution

1. Step 1: Write the proportion equation
   29,804 : 65,144 = 65,144 : x
2. Step 2: Convert to fraction form
   29,804/65,144 = 65,144/x
3. Step 3: Cross multiply
   29,804x = 65,144 × 65,144
4. Step 4: Simplify right side
   29,804x = 4,243,740,736
5. Step 5: Solve for x
   x = 4,243,740,736/29,804
6. Step 6: Final answer
   x = 142,388.29