Finding the Third Proportional to 20,244 and 31,410

Step by Step Solution

1. Step 1: Write the proportion equation
   20,244 : 31,410 = 31,410 : x
2. Step 2: Convert to fraction form
   20,244/31,410 = 31,410/x
3. Step 3: Cross multiply
   20,244x = 31,410 × 31,410
4. Step 4: Simplify right side
   20,244x = 986,588,100
5. Step 5: Solve for x
   x = 986,588,100/20,244
6. Step 6: Final answer
   x = 48,734.84