Finding the Third Proportional to 20,213 and 31,026

Step by Step Solution

1. Step 1: Write the proportion equation
   20,213 : 31,026 = 31,026 : x
2. Step 2: Convert to fraction form
   20,213/31,026 = 31,026/x
3. Step 3: Cross multiply
   20,213x = 31,026 × 31,026
4. Step 4: Simplify right side
   20,213x = 962,612,676
5. Step 5: Solve for x
   x = 962,612,676/20,213
6. Step 6: Final answer
   x = 47,623.44