Finding the Third Proportional to 21,004 and 31,946

Step by Step Solution

1. Step 1: Write the proportion equation
   21,004 : 31,946 = 31,946 : x
2. Step 2: Convert to fraction form
   21,004/31,946 = 31,946/x
3. Step 3: Cross multiply
   21,004x = 31,946 × 31,946
4. Step 4: Simplify right side
   21,004x = 1,020,546,916
5. Step 5: Solve for x
   x = 1,020,546,916/21,004
6. Step 6: Final answer
   x = 48,588.22