Finding the Third Proportional to 20,152 and 31,774

Step by Step Solution

1. Step 1: Write the proportion equation
   20,152 : 31,774 = 31,774 : x
2. Step 2: Convert to fraction form
   20,152/31,774 = 31,774/x
3. Step 3: Cross multiply
   20,152x = 31,774 × 31,774
4. Step 4: Simplify right side
   20,152x = 1,009,587,076
5. Step 5: Solve for x
   x = 1,009,587,076/20,152
6. Step 6: Final answer
   x = 50,098.60