Finding the Third Proportional to 21,218 and 31,206

Step by Step Solution

1. Step 1: Write the proportion equation
   21,218 : 31,206 = 31,206 : x
2. Step 2: Convert to fraction form
   21,218/31,206 = 31,206/x
3. Step 3: Cross multiply
   21,218x = 31,206 × 31,206
4. Step 4: Simplify right side
   21,218x = 973,814,436
5. Step 5: Solve for x
   x = 973,814,436/21,218
6. Step 6: Final answer
   x = 45,895.68