Finding the Third Proportional to 10,294.50 and 22,353

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.50 : 22,353 = 22,353 : x
2. Step 2: Convert to fraction form
   10,294.50/22,353 = 22,353/x
3. Step 3: Cross multiply
   10,294.50x = 22,353 × 22,353
4. Step 4: Simplify right side
   10,294.50x = 499,656,609
5. Step 5: Solve for x
   x = 499,656,609/10,294.50
6. Step 6: Final answer
   x = 48,536.27