Finding the Third Proportional to 9,697.69 and 14,828.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,697.69 : 14,828.53 = 14,828.53 : x
2. Step 2: Convert to fraction form
   9,697.69/14,828.53 = 14,828.53/x
3. Step 3: Cross multiply
   9,697.69x = 14,828.53 × 14,828.53
4. Step 4: Simplify right side
   9,697.69x = 219,885,339.03
5. Step 5: Solve for x
   x = 219,885,339.03/9,697.69
6. Step 6: Final answer
   x = 22,674.00