Finding the Third Proportional to 21,214 and 31,091

Step by Step Solution

1. Step 1: Write the proportion equation
   21,214 : 31,091 = 31,091 : x
2. Step 2: Convert to fraction form
   21,214/31,091 = 31,091/x
3. Step 3: Cross multiply
   21,214x = 31,091 × 31,091
4. Step 4: Simplify right side
   21,214x = 966,650,281
5. Step 5: Solve for x
   x = 966,650,281/21,214
6. Step 6: Final answer
   x = 45,566.62