Finding the Third Proportional to 9,678.23 and 13,629.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.23 : 13,629.52 = 13,629.52 : x
2. Step 2: Convert to fraction form
   9,678.23/13,629.52 = 13,629.52/x
3. Step 3: Cross multiply
   9,678.23x = 13,629.52 × 13,629.52
4. Step 4: Simplify right side
   9,678.23x = 185,763,696.17
5. Step 5: Solve for x
   x = 185,763,696.17/9,678.23
6. Step 6: Final answer
   x = 19,193.97