Finding the Third Proportional to 9,696.56 and 14,826.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696.56 : 14,826.84 = 14,826.84 : x
2. Step 2: Convert to fraction form
   9,696.56/14,826.84 = 14,826.84/x
3. Step 3: Cross multiply
   9,696.56x = 14,826.84 × 14,826.84
4. Step 4: Simplify right side
   9,696.56x = 219,835,295.59
5. Step 5: Solve for x
   x = 219,835,295.59/9,696.56
6. Step 6: Final answer
   x = 22,671.47