Finding the Third Proportional to 20,768 and 31,136

Step by Step Solution

1. Step 1: Write the proportion equation
   20,768 : 31,136 = 31,136 : x
2. Step 2: Convert to fraction form
   20,768/31,136 = 31,136/x
3. Step 3: Cross multiply
   20,768x = 31,136 × 31,136
4. Step 4: Simplify right side
   20,768x = 969,450,496
5. Step 5: Solve for x
   x = 969,450,496/20,768
6. Step 6: Final answer
   x = 46,680.01