Finding the Third Proportional to 12,345 and 25,083

Step by Step Solution

1. Step 1: Write the proportion equation
   12,345 : 25,083 = 25,083 : x
2. Step 2: Convert to fraction form
   12,345/25,083 = 25,083/x
3. Step 3: Cross multiply
   12,345x = 25,083 × 25,083
4. Step 4: Simplify right side
   12,345x = 629,156,889
5. Step 5: Solve for x
   x = 629,156,889/12,345
6. Step 6: Final answer
   x = 50,964.51