Finding the Third Proportional to 29,976 and 65,328

Step by Step Solution

1. Step 1: Write the proportion equation
   29,976 : 65,328 = 65,328 : x
2. Step 2: Convert to fraction form
   29,976/65,328 = 65,328/x
3. Step 3: Cross multiply
   29,976x = 65,328 × 65,328
4. Step 4: Simplify right side
   29,976x = 4,267,747,584
5. Step 5: Solve for x
   x = 4,267,747,584/29,976
6. Step 6: Final answer
   x = 142,372.15