Finding the Third Proportional to 10,650 and 19,716

Step by Step Solution

1. Step 1: Write the proportion equation
   10,650 : 19,716 = 19,716 : x
2. Step 2: Convert to fraction form
   10,650/19,716 = 19,716/x
3. Step 3: Cross multiply
   10,650x = 19,716 × 19,716
4. Step 4: Simplify right side
   10,650x = 388,720,656
5. Step 5: Solve for x
   x = 388,720,656/10,650
6. Step 6: Final answer
   x = 36,499.59