Finding the Third Proportional to 10,536.96 and 22,568.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536.96 : 22,568.63 = 22,568.63 : x
2. Step 2: Convert to fraction form
   10,536.96/22,568.63 = 22,568.63/x
3. Step 3: Cross multiply
   10,536.96x = 22,568.63 × 22,568.63
4. Step 4: Simplify right side
   10,536.96x = 509,342,834.39
5. Step 5: Solve for x
   x = 509,342,834.39/10,536.96
6. Step 6: Final answer
   x = 48,338.68