Finding the Third Proportional to 29,944 and 65,640

Step by Step Solution

1. Step 1: Write the proportion equation
   29,944 : 65,640 = 65,640 : x
2. Step 2: Convert to fraction form
   29,944/65,640 = 65,640/x
3. Step 3: Cross multiply
   29,944x = 65,640 × 65,640
4. Step 4: Simplify right side
   29,944x = 4,308,609,600
5. Step 5: Solve for x
   x = 4,308,609,600/29,944
6. Step 6: Final answer
   x = 143,888.91