Finding the Third Proportional to 16,304 and 35,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,304 : 35,733.50 = 35,733.50 : x
2. Step 2: Convert to fraction form
   16,304/35,733.50 = 35,733.50/x
3. Step 3: Cross multiply
   16,304x = 35,733.50 × 35,733.50
4. Step 4: Simplify right side
   16,304x = 1,276,883,022.25
5. Step 5: Solve for x
   x = 1,276,883,022.25/16,304
6. Step 6: Final answer
   x = 78,317.16