Finding the Third Proportional to 7,662.09 and 10,842.61

Step by Step Solution

1. Step 1: Write the proportion equation
   7,662.09 : 10,842.61 = 10,842.61 : x
2. Step 2: Convert to fraction form
   7,662.09/10,842.61 = 10,842.61/x
3. Step 3: Cross multiply
   7,662.09x = 10,842.61 × 10,842.61
4. Step 4: Simplify right side
   7,662.09x = 117,562,178.06
5. Step 5: Solve for x
   x = 117,562,178.06/7,662.09
6. Step 6: Final answer
   x = 15,343.35