Finding the Third Proportional to 20,454 and 31,276

Step by Step Solution

1. Step 1: Write the proportion equation
   20,454 : 31,276 = 31,276 : x
2. Step 2: Convert to fraction form
   20,454/31,276 = 31,276/x
3. Step 3: Cross multiply
   20,454x = 31,276 × 31,276
4. Step 4: Simplify right side
   20,454x = 978,188,176
5. Step 5: Solve for x
   x = 978,188,176/20,454
6. Step 6: Final answer
   x = 47,823.81