Finding the Third Proportional to 21,470 and 31,583

Step by Step Solution

1. Step 1: Write the proportion equation
   21,470 : 31,583 = 31,583 : x
2. Step 2: Convert to fraction form
   21,470/31,583 = 31,583/x
3. Step 3: Cross multiply
   21,470x = 31,583 × 31,583
4. Step 4: Simplify right side
   21,470x = 997,485,889
5. Step 5: Solve for x
   x = 997,485,889/21,470
6. Step 6: Final answer
   x = 46,459.52