Finding the Third Proportional to 9,748.69 and 14,689.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,748.69 : 14,689.69 = 14,689.69 : x
2. Step 2: Convert to fraction form
   9,748.69/14,689.69 = 14,689.69/x
3. Step 3: Cross multiply
   9,748.69x = 14,689.69 × 14,689.69
4. Step 4: Simplify right side
   9,748.69x = 215,786,918.85
5. Step 5: Solve for x
   x = 215,786,918.85/9,748.69
6. Step 6: Final answer
   x = 22,134.97