Finding the Third Proportional to 20,748 and 31,122

Step by Step Solution

1. Step 1: Write the proportion equation
   20,748 : 31,122 = 31,122 : x
2. Step 2: Convert to fraction form
   20,748/31,122 = 31,122/x
3. Step 3: Cross multiply
   20,748x = 31,122 × 31,122
4. Step 4: Simplify right side
   20,748x = 968,578,884
5. Step 5: Solve for x
   x = 968,578,884/20,748
6. Step 6: Final answer
   x = 46,683