Finding the Third Proportional to 7,852 and 14,978

Step by Step Solution

1. Step 1: Write the proportion equation
   7,852 : 14,978 = 14,978 : x
2. Step 2: Convert to fraction form
   7,852/14,978 = 14,978/x
3. Step 3: Cross multiply
   7,852x = 14,978 × 14,978
4. Step 4: Simplify right side
   7,852x = 224,340,484
5. Step 5: Solve for x
   x = 224,340,484/7,852
6. Step 6: Final answer
   x = 28,571.13