Finding the Third Proportional to 16,209 and 37,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,209 : 37,255.50 = 37,255.50 : x
2. Step 2: Convert to fraction form
   16,209/37,255.50 = 37,255.50/x
3. Step 3: Cross multiply
   16,209x = 37,255.50 × 37,255.50
4. Step 4: Simplify right side
   16,209x = 1,387,972,280.25
5. Step 5: Solve for x
   x = 1,387,972,280.25/16,209
6. Step 6: Final answer
   x = 85,629.73