Finding the Third Proportional to 16,411 and 24,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,411 : 24,766.50 = 24,766.50 : x
2. Step 2: Convert to fraction form
   16,411/24,766.50 = 24,766.50/x
3. Step 3: Cross multiply
   16,411x = 24,766.50 × 24,766.50
4. Step 4: Simplify right side
   16,411x = 613,379,522.25
5. Step 5: Solve for x
   x = 613,379,522.25/16,411
6. Step 6: Final answer
   x = 37,376.12