Finding the Third Proportional to 20,404 and 31,529

Step by Step Solution

1. Step 1: Write the proportion equation
   20,404 : 31,529 = 31,529 : x
2. Step 2: Convert to fraction form
   20,404/31,529 = 31,529/x
3. Step 3: Cross multiply
   20,404x = 31,529 × 31,529
4. Step 4: Simplify right side
   20,404x = 994,077,841
5. Step 5: Solve for x
   x = 994,077,841/20,404
6. Step 6: Final answer
   x = 48,719.75