Finding the Third Proportional to 10,849.50 and 23,776.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,849.50 : 23,776.31 = 23,776.31 : x
2. Step 2: Convert to fraction form
   10,849.50/23,776.31 = 23,776.31/x
3. Step 3: Cross multiply
   10,849.50x = 23,776.31 × 23,776.31
4. Step 4: Simplify right side
   10,849.50x = 565,313,036.10
5. Step 5: Solve for x
   x = 565,313,036.10/10,849.50
6. Step 6: Final answer
   x = 52,104.99