Finding the Third Proportional to 31,478 and 44,007

Step by Step Solution

1. Step 1: Write the proportion equation
   31,478 : 44,007 = 44,007 : x
2. Step 2: Convert to fraction form
   31,478/44,007 = 44,007/x
3. Step 3: Cross multiply
   31,478x = 44,007 × 44,007
4. Step 4: Simplify right side
   31,478x = 1,936,616,049
5. Step 5: Solve for x
   x = 1,936,616,049/31,478
6. Step 6: Final answer
   x = 61,522.84