Finding the Third Proportional to 20,490 and 31,832

Step by Step Solution

1. Step 1: Write the proportion equation
   20,490 : 31,832 = 31,832 : x
2. Step 2: Convert to fraction form
   20,490/31,832 = 31,832/x
3. Step 3: Cross multiply
   20,490x = 31,832 × 31,832
4. Step 4: Simplify right side
   20,490x = 1,013,276,224
5. Step 5: Solve for x
   x = 1,013,276,224/20,490
6. Step 6: Final answer
   x = 49,452.23