Finding the Third Proportional to 10,782.47 and 23,463.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782.47 : 23,463.38 = 23,463.38 : x
2. Step 2: Convert to fraction form
   10,782.47/23,463.38 = 23,463.38/x
3. Step 3: Cross multiply
   10,782.47x = 23,463.38 × 23,463.38
4. Step 4: Simplify right side
   10,782.47x = 550,529,966.39
5. Step 5: Solve for x
   x = 550,529,966.39/10,782.47
6. Step 6: Final answer
   x = 51,057.88