Finding the Third Proportional to 7,586 and 8,978

Step by Step Solution

1. Step 1: Write the proportion equation
   7,586 : 8,978 = 8,978 : x
2. Step 2: Convert to fraction form
   7,586/8,978 = 8,978/x
3. Step 3: Cross multiply
   7,586x = 8,978 × 8,978
4. Step 4: Simplify right side
   7,586x = 80,604,484
5. Step 5: Solve for x
   x = 80,604,484/7,586
6. Step 6: Final answer
   x = 10,625.43