Finding the Third Proportional to 10,477.69 and 22,563.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.69 : 22,563.56 = 22,563.56 : x
2. Step 2: Convert to fraction form
   10,477.69/22,563.56 = 22,563.56/x
3. Step 3: Cross multiply
   10,477.69x = 22,563.56 × 22,563.56
4. Step 4: Simplify right side
   10,477.69x = 509,114,352.69
5. Step 5: Solve for x
   x = 509,114,352.69/10,477.69
6. Step 6: Final answer
   x = 48,590.34