Finding the Third Proportional to 9,696.23 and 14,826.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696.23 : 14,826.38 = 14,826.38 : x
2. Step 2: Convert to fraction form
   9,696.23/14,826.38 = 14,826.38/x
3. Step 3: Cross multiply
   9,696.23x = 14,826.38 × 14,826.38
4. Step 4: Simplify right side
   9,696.23x = 219,821,395.64
5. Step 5: Solve for x
   x = 219,821,395.64/9,696.23
6. Step 6: Final answer
   x = 22,670.80