Finding the Third Proportional to 14,410 and 31,345

Step by Step Solution

1. Step 1: Write the proportion equation
   14,410 : 31,345 = 31,345 : x
2. Step 2: Convert to fraction form
   14,410/31,345 = 31,345/x
3. Step 3: Cross multiply
   14,410x = 31,345 × 31,345
4. Step 4: Simplify right side
   14,410x = 982,509,025
5. Step 5: Solve for x
   x = 982,509,025/14,410
6. Step 6: Final answer
   x = 68,182.44