Finding the Third Proportional to 16,641 and 39,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,641 : 39,766.50 = 39,766.50 : x
2. Step 2: Convert to fraction form
   16,641/39,766.50 = 39,766.50/x
3. Step 3: Cross multiply
   16,641x = 39,766.50 × 39,766.50
4. Step 4: Simplify right side
   16,641x = 1,581,374,522.25
5. Step 5: Solve for x
   x = 1,581,374,522.25/16,641
6. Step 6: Final answer
   x = 95,028.82