Finding the Third Proportional to 17,978 and 26,051

Step by Step Solution

1. Step 1: Write the proportion equation
   17,978 : 26,051 = 26,051 : x
2. Step 2: Convert to fraction form
   17,978/26,051 = 26,051/x
3. Step 3: Cross multiply
   17,978x = 26,051 × 26,051
4. Step 4: Simplify right side
   17,978x = 678,654,601
5. Step 5: Solve for x
   x = 678,654,601/17,978
6. Step 6: Final answer
   x = 37,749.17