Finding the Third Proportional to 20,848 and 31,168

Step by Step Solution

1. Step 1: Write the proportion equation
   20,848 : 31,168 = 31,168 : x
2. Step 2: Convert to fraction form
   20,848/31,168 = 31,168/x
3. Step 3: Cross multiply
   20,848x = 31,168 × 31,168
4. Step 4: Simplify right side
   20,848x = 971,444,224
5. Step 5: Solve for x
   x = 971,444,224/20,848
6. Step 6: Final answer
   x = 46,596.52