Finding the Third Proportional to 7,710.19 and 12,097.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,710.19 : 12,097.69 = 12,097.69 : x
2. Step 2: Convert to fraction form
   7,710.19/12,097.69 = 12,097.69/x
3. Step 3: Cross multiply
   7,710.19x = 12,097.69 × 12,097.69
4. Step 4: Simplify right side
   7,710.19x = 146,354,042.85
5. Step 5: Solve for x
   x = 146,354,042.85/7,710.19
6. Step 6: Final answer
   x = 18,981.90