Finding the Third Proportional to 16,144 and 35,468

Step by Step Solution

1. Step 1: Write the proportion equation
   16,144 : 35,468 = 35,468 : x
2. Step 2: Convert to fraction form
   16,144/35,468 = 35,468/x
3. Step 3: Cross multiply
   16,144x = 35,468 × 35,468
4. Step 4: Simplify right side
   16,144x = 1,257,979,024
5. Step 5: Solve for x
   x = 1,257,979,024/16,144
6. Step 6: Final answer
   x = 77,922.39