Finding the Third Proportional to 19,770.75 and 23,256.38

Step by Step Solution

1. Step 1: Write the proportion equation
   19,770.75 : 23,256.38 = 23,256.38 : x
2. Step 2: Convert to fraction form
   19,770.75/23,256.38 = 23,256.38/x
3. Step 3: Cross multiply
   19,770.75x = 23,256.38 × 23,256.38
4. Step 4: Simplify right side
   19,770.75x = 540,858,978.14
5. Step 5: Solve for x
   x = 540,858,978.14/19,770.75
6. Step 6: Final answer
   x = 27,356.52