Finding the Third Proportional to 16,546 and 36,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,546 : 36,066.50 = 36,066.50 : x
2. Step 2: Convert to fraction form
   16,546/36,066.50 = 36,066.50/x
3. Step 3: Cross multiply
   16,546x = 36,066.50 × 36,066.50
4. Step 4: Simplify right side
   16,546x = 1,300,792,422.25
5. Step 5: Solve for x
   x = 1,300,792,422.25/16,546
6. Step 6: Final answer
   x = 78,616.73