Finding the Third Proportional to 63,838 and 101,036

Step by Step Solution

1. Step 1: Write the proportion equation
   63,838 : 101,036 = 101,036 : x
2. Step 2: Convert to fraction form
   63,838/101,036 = 101,036/x
3. Step 3: Cross multiply
   63,838x = 101,036 × 101,036
4. Step 4: Simplify right side
   63,838x = 10,208,273,296
5. Step 5: Solve for x
   x = 10,208,273,296/63,838
6. Step 6: Final answer
   x = 159,909.04