Finding the Third Proportional to 30,838 and 64,107

Step by Step Solution

1. Step 1: Write the proportion equation
   30,838 : 64,107 = 64,107 : x
2. Step 2: Convert to fraction form
   30,838/64,107 = 64,107/x
3. Step 3: Cross multiply
   30,838x = 64,107 × 64,107
4. Step 4: Simplify right side
   30,838x = 4,109,707,449
5. Step 5: Solve for x
   x = 4,109,707,449/30,838
6. Step 6: Final answer
   x = 133,267.64