Finding the Third Proportional to 10,770.75 and 15,419.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,770.75 : 15,419.25 = 15,419.25 : x
2. Step 2: Convert to fraction form
   10,770.75/15,419.25 = 15,419.25/x
3. Step 3: Cross multiply
   10,770.75x = 15,419.25 × 15,419.25
4. Step 4: Simplify right side
   10,770.75x = 237,753,270.56
5. Step 5: Solve for x
   x = 237,753,270.56/10,770.75
6. Step 6: Final answer
   x = 22,073.98