Finding the Third Proportional to 16,047 and 17,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,047 : 17,293.50 = 17,293.50 : x
2. Step 2: Convert to fraction form
   16,047/17,293.50 = 17,293.50/x
3. Step 3: Cross multiply
   16,047x = 17,293.50 × 17,293.50
4. Step 4: Simplify right side
   16,047x = 299,065,142.25
5. Step 5: Solve for x
   x = 299,065,142.25/16,047
6. Step 6: Final answer
   x = 18,636.83