Finding the Third Proportional to 21,207 and 31,812

Step by Step Solution

1. Step 1: Write the proportion equation
   21,207 : 31,812 = 31,812 : x
2. Step 2: Convert to fraction form
   21,207/31,812 = 31,812/x
3. Step 3: Cross multiply
   21,207x = 31,812 × 31,812
4. Step 4: Simplify right side
   21,207x = 1,012,003,344
5. Step 5: Solve for x
   x = 1,012,003,344/21,207
6. Step 6: Final answer
   x = 47,720.25