Finding the Third Proportional to 10,100 and 15,978

Step by Step Solution

1. Step 1: Write the proportion equation
   10,100 : 15,978 = 15,978 : x
2. Step 2: Convert to fraction form
   10,100/15,978 = 15,978/x
3. Step 3: Cross multiply
   10,100x = 15,978 × 15,978
4. Step 4: Simplify right side
   10,100x = 255,296,484
5. Step 5: Solve for x
   x = 255,296,484/10,100
6. Step 6: Final answer
   x = 25,276.88