Finding the Third Proportional to 16,109 and 24,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,109 : 24,643.50 = 24,643.50 : x
2. Step 2: Convert to fraction form
   16,109/24,643.50 = 24,643.50/x
3. Step 3: Cross multiply
   16,109x = 24,643.50 × 24,643.50
4. Step 4: Simplify right side
   16,109x = 607,302,092.25
5. Step 5: Solve for x
   x = 607,302,092.25/16,109
6. Step 6: Final answer
   x = 37,699.55