Finding the Third Proportional to 14,362 and 31,564

Step by Step Solution

1. Step 1: Write the proportion equation
   14,362 : 31,564 = 31,564 : x
2. Step 2: Convert to fraction form
   14,362/31,564 = 31,564/x
3. Step 3: Cross multiply
   14,362x = 31,564 × 31,564
4. Step 4: Simplify right side
   14,362x = 996,286,096
5. Step 5: Solve for x
   x = 996,286,096/14,362
6. Step 6: Final answer
   x = 69,369.59