Finding the Third Proportional to 14,141 and 30,740

Step by Step Solution

1. Step 1: Write the proportion equation
   14,141 : 30,740 = 30,740 : x
2. Step 2: Convert to fraction form
   14,141/30,740 = 30,740/x
3. Step 3: Cross multiply
   14,141x = 30,740 × 30,740
4. Step 4: Simplify right side
   14,141x = 944,947,600
5. Step 5: Solve for x
   x = 944,947,600/14,141
6. Step 6: Final answer
   x = 66,823.25