Finding the Third Proportional to 10,188 and 21,693

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188 : 21,693 = 21,693 : x
2. Step 2: Convert to fraction form
   10,188/21,693 = 21,693/x
3. Step 3: Cross multiply
   10,188x = 21,693 × 21,693
4. Step 4: Simplify right side
   10,188x = 470,586,249
5. Step 5: Solve for x
   x = 470,586,249/10,188
6. Step 6: Final answer
   x = 46,190.25