Finding the Third Proportional to 7,812.94 and 12,411.47

Step by Step Solution

1. Step 1: Write the proportion equation
   7,812.94 : 12,411.47 = 12,411.47 : x
2. Step 2: Convert to fraction form
   7,812.94/12,411.47 = 12,411.47/x
3. Step 3: Cross multiply
   7,812.94x = 12,411.47 × 12,411.47
4. Step 4: Simplify right side
   7,812.94x = 154,044,556.53
5. Step 5: Solve for x
   x = 154,044,556.53/7,812.94
6. Step 6: Final answer
   x = 19,716.60