Finding the Third Proportional to 20,812 and 31,184

Step by Step Solution

1. Step 1: Write the proportion equation
   20,812 : 31,184 = 31,184 : x
2. Step 2: Convert to fraction form
   20,812/31,184 = 31,184/x
3. Step 3: Cross multiply
   20,812x = 31,184 × 31,184
4. Step 4: Simplify right side
   20,812x = 972,441,856
5. Step 5: Solve for x
   x = 972,441,856/20,812
6. Step 6: Final answer
   x = 46,725.06