Finding the Third Proportional to 7,053.75 and 10,823.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,053.75 : 10,823.63 = 10,823.63 : x
2. Step 2: Convert to fraction form
   7,053.75/10,823.63 = 10,823.63/x
3. Step 3: Cross multiply
   7,053.75x = 10,823.63 × 10,823.63
4. Step 4: Simplify right side
   7,053.75x = 117,150,858.14
5. Step 5: Solve for x
   x = 117,150,858.14/7,053.75
6. Step 6: Final answer
   x = 16,608.31