Finding the Third Proportional to 12,324.66 and 19,738.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,324.66 : 19,738.69 = 19,738.69 : x
2. Step 2: Convert to fraction form
   12,324.66/19,738.69 = 19,738.69/x
3. Step 3: Cross multiply
   12,324.66x = 19,738.69 × 19,738.69
4. Step 4: Simplify right side
   12,324.66x = 389,615,784.22
5. Step 5: Solve for x
   x = 389,615,784.22/12,324.66
6. Step 6: Final answer
   x = 31,612.71