Finding the Third Proportional to 10,978 and 17,033

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 17,033 = 17,033 : x
2. Step 2: Convert to fraction form
   10,978/17,033 = 17,033/x
3. Step 3: Cross multiply
   10,978x = 17,033 × 17,033
4. Step 4: Simplify right side
   10,978x = 290,123,089
5. Step 5: Solve for x
   x = 290,123,089/10,978
6. Step 6: Final answer
   x = 26,427.68