Finding the Third Proportional to 7,707.75 and 16,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,707.75 : 16,843.50 = 16,843.50 : x
2. Step 2: Convert to fraction form
   7,707.75/16,843.50 = 16,843.50/x
3. Step 3: Cross multiply
   7,707.75x = 16,843.50 × 16,843.50
4. Step 4: Simplify right side
   7,707.75x = 283,703,492.25
5. Step 5: Solve for x
   x = 283,703,492.25/7,707.75
6. Step 6: Final answer
   x = 36,807.56