Finding the Third Proportional to 21,077 and 31,294

Step by Step Solution

1. Step 1: Write the proportion equation
   21,077 : 31,294 = 31,294 : x
2. Step 2: Convert to fraction form
   21,077/31,294 = 31,294/x
3. Step 3: Cross multiply
   21,077x = 31,294 × 31,294
4. Step 4: Simplify right side
   21,077x = 979,314,436
5. Step 5: Solve for x
   x = 979,314,436/21,077
6. Step 6: Final answer
   x = 46,463.65