Finding the Third Proportional to 16,005 and 23,598

Step by Step Solution

1. Step 1: Write the proportion equation
   16,005 : 23,598 = 23,598 : x
2. Step 2: Convert to fraction form
   16,005/23,598 = 23,598/x
3. Step 3: Cross multiply
   16,005x = 23,598 × 23,598
4. Step 4: Simplify right side
   16,005x = 556,865,604
5. Step 5: Solve for x
   x = 556,865,604/16,005
6. Step 6: Final answer
   x = 34,793.23