Finding the Third Proportional to 21,164 and 31,090

Step by Step Solution

1. Step 1: Write the proportion equation
   21,164 : 31,090 = 31,090 : x
2. Step 2: Convert to fraction form
   21,164/31,090 = 31,090/x
3. Step 3: Cross multiply
   21,164x = 31,090 × 31,090
4. Step 4: Simplify right side
   21,164x = 966,588,100
5. Step 5: Solve for x
   x = 966,588,100/21,164
6. Step 6: Final answer
   x = 45,671.33