Finding the Third Proportional to 10,978 and 17,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 17,023.50 = 17,023.50 : x
2. Step 2: Convert to fraction form
   10,978/17,023.50 = 17,023.50/x
3. Step 3: Cross multiply
   10,978x = 17,023.50 × 17,023.50
4. Step 4: Simplify right side
   10,978x = 289,799,552.25
5. Step 5: Solve for x
   x = 289,799,552.25/10,978
6. Step 6: Final answer
   x = 26,398.21