Finding the Third Proportional to 10,188 and 20,784

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188 : 20,784 = 20,784 : x
2. Step 2: Convert to fraction form
   10,188/20,784 = 20,784/x
3. Step 3: Cross multiply
   10,188x = 20,784 × 20,784
4. Step 4: Simplify right side
   10,188x = 431,974,656
5. Step 5: Solve for x
   x = 431,974,656/10,188
6. Step 6: Final answer
   x = 42,400.34