Finding the Third Proportional to 5,093.50 and 10,649.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,093.50 : 10,649.38 = 10,649.38 : x
2. Step 2: Convert to fraction form
   5,093.50/10,649.38 = 10,649.38/x
3. Step 3: Cross multiply
   5,093.50x = 10,649.38 × 10,649.38
4. Step 4: Simplify right side
   5,093.50x = 113,409,187.89
5. Step 5: Solve for x
   x = 113,409,187.89/5,093.50
6. Step 6: Final answer
   x = 22,265.47