Finding the Third Proportional to 16,509 and 38,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,509 : 38,959.50 = 38,959.50 : x
2. Step 2: Convert to fraction form
   16,509/38,959.50 = 38,959.50/x
3. Step 3: Cross multiply
   16,509x = 38,959.50 × 38,959.50
4. Step 4: Simplify right side
   16,509x = 1,517,842,640.25
5. Step 5: Solve for x
   x = 1,517,842,640.25/16,509
6. Step 6: Final answer
   x = 91,940.31