Finding the Third Proportional to 7,580 and 17,978

Step by Step Solution

1. Step 1: Write the proportion equation
   7,580 : 17,978 = 17,978 : x
2. Step 2: Convert to fraction form
   7,580/17,978 = 17,978/x
3. Step 3: Cross multiply
   7,580x = 17,978 × 17,978
4. Step 4: Simplify right side
   7,580x = 323,208,484
5. Step 5: Solve for x
   x = 323,208,484/7,580
6. Step 6: Final answer
   x = 42,639.64