Finding the Third Proportional to 10,517.34 and 22,576.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,517.34 : 22,576.22 = 22,576.22 : x
2. Step 2: Convert to fraction form
   10,517.34/22,576.22 = 22,576.22/x
3. Step 3: Cross multiply
   10,517.34x = 22,576.22 × 22,576.22
4. Step 4: Simplify right side
   10,517.34x = 509,685,653.05
5. Step 5: Solve for x
   x = 509,685,653.05/10,517.34
6. Step 6: Final answer
   x = 48,461.44