Finding the Third Proportional to 5,386.50 and 10,773

Step by Step Solution

1. Step 1: Write the proportion equation
   5,386.50 : 10,773 = 10,773 : x
2. Step 2: Convert to fraction form
   5,386.50/10,773 = 10,773/x
3. Step 3: Cross multiply
   5,386.50x = 10,773 × 10,773
4. Step 4: Simplify right side
   5,386.50x = 116,057,529
5. Step 5: Solve for x
   x = 116,057,529/5,386.50
6. Step 6: Final answer
   x = 21,546