Finding the Third Proportional to 16,102 and 33,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,102 : 33,243.50 = 33,243.50 : x
2. Step 2: Convert to fraction form
   16,102/33,243.50 = 33,243.50/x
3. Step 3: Cross multiply
   16,102x = 33,243.50 × 33,243.50
4. Step 4: Simplify right side
   16,102x = 1,105,130,292.25
5. Step 5: Solve for x
   x = 1,105,130,292.25/16,102
6. Step 6: Final answer
   x = 68,633.11