Finding the Third Proportional to 20,156 and 31,780

Step by Step Solution

1. Step 1: Write the proportion equation
   20,156 : 31,780 = 31,780 : x
2. Step 2: Convert to fraction form
   20,156/31,780 = 31,780/x
3. Step 3: Cross multiply
   20,156x = 31,780 × 31,780
4. Step 4: Simplify right side
   20,156x = 1,009,968,400
5. Step 5: Solve for x
   x = 1,009,968,400/20,156
6. Step 6: Final answer
   x = 50,107.58