Finding the Third Proportional to 7,828.31 and 16,795.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,828.31 : 16,795.69 = 16,795.69 : x
2. Step 2: Convert to fraction form
   7,828.31/16,795.69 = 16,795.69/x
3. Step 3: Cross multiply
   7,828.31x = 16,795.69 × 16,795.69
4. Step 4: Simplify right side
   7,828.31x = 282,095,118.60
5. Step 5: Solve for x
   x = 282,095,118.60/7,828.31
6. Step 6: Final answer
   x = 36,035.24