Finding the Third Proportional to 20,527 and 31,204

Step by Step Solution

1. Step 1: Write the proportion equation
   20,527 : 31,204 = 31,204 : x
2. Step 2: Convert to fraction form
   20,527/31,204 = 31,204/x
3. Step 3: Cross multiply
   20,527x = 31,204 × 31,204
4. Step 4: Simplify right side
   20,527x = 973,689,616
5. Step 5: Solve for x
   x = 973,689,616/20,527
6. Step 6: Final answer
   x = 47,434.58