Finding the Third Proportional to 46,371 and 101,007

Step by Step Solution

1. Step 1: Write the proportion equation
   46,371 : 101,007 = 101,007 : x
2. Step 2: Convert to fraction form
   46,371/101,007 = 101,007/x
3. Step 3: Cross multiply
   46,371x = 101,007 × 101,007
4. Step 4: Simplify right side
   46,371x = 10,202,414,049
5. Step 5: Solve for x
   x = 10,202,414,049/46,371
6. Step 6: Final answer
   x = 220,017.12