Finding the Third Proportional to 10,909.69 and 23,107.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,909.69 : 23,107.78 = 23,107.78 : x
2. Step 2: Convert to fraction form
   10,909.69/23,107.78 = 23,107.78/x
3. Step 3: Cross multiply
   10,909.69x = 23,107.78 × 23,107.78
4. Step 4: Simplify right side
   10,909.69x = 533,969,554.30
5. Step 5: Solve for x
   x = 533,969,554.30/10,909.69
6. Step 6: Final answer
   x = 48,944.53