Finding the Third Proportional to 7,978 and 17,557

Step by Step Solution

1. Step 1: Write the proportion equation
   7,978 : 17,557 = 17,557 : x
2. Step 2: Convert to fraction form
   7,978/17,557 = 17,557/x
3. Step 3: Cross multiply
   7,978x = 17,557 × 17,557
4. Step 4: Simplify right side
   7,978x = 308,248,249
5. Step 5: Solve for x
   x = 308,248,249/7,978
6. Step 6: Final answer
   x = 38,637.28