Finding the Third Proportional to 6,460 and 16,978

Step by Step Solution

1. Step 1: Write the proportion equation
   6,460 : 16,978 = 16,978 : x
2. Step 2: Convert to fraction form
   6,460/16,978 = 16,978/x
3. Step 3: Cross multiply
   6,460x = 16,978 × 16,978
4. Step 4: Simplify right side
   6,460x = 288,252,484
5. Step 5: Solve for x
   x = 288,252,484/6,460
6. Step 6: Final answer
   x = 44,621.13