Finding the Third Proportional to 16,766 and 36,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,766 : 36,166.50 = 36,166.50 : x
2. Step 2: Convert to fraction form
   16,766/36,166.50 = 36,166.50/x
3. Step 3: Cross multiply
   16,766x = 36,166.50 × 36,166.50
4. Step 4: Simplify right side
   16,766x = 1,308,015,722.25
5. Step 5: Solve for x
   x = 1,308,015,722.25/16,766
6. Step 6: Final answer
   x = 78,015.97