Finding the Third Proportional to 40,768 and 64,434

Step by Step Solution

1. Step 1: Write the proportion equation
   40,768 : 64,434 = 64,434 : x
2. Step 2: Convert to fraction form
   40,768/64,434 = 64,434/x
3. Step 3: Cross multiply
   40,768x = 64,434 × 64,434
4. Step 4: Simplify right side
   40,768x = 4,151,740,356
5. Step 5: Solve for x
   x = 4,151,740,356/40,768
6. Step 6: Final answer
   x = 101,838.22