Finding the Third Proportional to 17,740 and 26,978

Step by Step Solution

1. Step 1: Write the proportion equation
   17,740 : 26,978 = 26,978 : x
2. Step 2: Convert to fraction form
   17,740/26,978 = 26,978/x
3. Step 3: Cross multiply
   17,740x = 26,978 × 26,978
4. Step 4: Simplify right side
   17,740x = 727,812,484
5. Step 5: Solve for x
   x = 727,812,484/17,740
6. Step 6: Final answer
   x = 41,026.63