Finding the Third Proportional to 16,072 and 23,620

Step by Step Solution

1. Step 1: Write the proportion equation
   16,072 : 23,620 = 23,620 : x
2. Step 2: Convert to fraction form
   16,072/23,620 = 23,620/x
3. Step 3: Cross multiply
   16,072x = 23,620 × 23,620
4. Step 4: Simplify right side
   16,072x = 557,904,400
5. Step 5: Solve for x
   x = 557,904,400/16,072
6. Step 6: Final answer
   x = 34,712.82