Finding the Third Proportional to 7,836.75 and 16,812.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,836.75 : 16,812.56 = 16,812.56 : x
2. Step 2: Convert to fraction form
   7,836.75/16,812.56 = 16,812.56/x
3. Step 3: Cross multiply
   7,836.75x = 16,812.56 × 16,812.56
4. Step 4: Simplify right side
   7,836.75x = 282,662,257.82
5. Step 5: Solve for x
   x = 282,662,257.82/7,836.75
6. Step 6: Final answer
   x = 36,068.81