Finding the Third Proportional to 21,768 and 29,142

Step by Step Solution

1. Step 1: Write the proportion equation
   21,768 : 29,142 = 29,142 : x
2. Step 2: Convert to fraction form
   21,768/29,142 = 29,142/x
3. Step 3: Cross multiply
   21,768x = 29,142 × 29,142
4. Step 4: Simplify right side
   21,768x = 849,256,164
5. Step 5: Solve for x
   x = 849,256,164/21,768
6. Step 6: Final answer
   x = 39,013.97