Finding the Third Proportional to 10,642.63 and 23,127.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642.63 : 23,127.38 = 23,127.38 : x
2. Step 2: Convert to fraction form
   10,642.63/23,127.38 = 23,127.38/x
3. Step 3: Cross multiply
   10,642.63x = 23,127.38 × 23,127.38
4. Step 4: Simplify right side
   10,642.63x = 534,875,474.39
5. Step 5: Solve for x
   x = 534,875,474.39/10,642.63
6. Step 6: Final answer
   x = 50,257.85