Finding the Third Proportional to 31,736 and 64,928

Step by Step Solution

1. Step 1: Write the proportion equation
   31,736 : 64,928 = 64,928 : x
2. Step 2: Convert to fraction form
   31,736/64,928 = 64,928/x
3. Step 3: Cross multiply
   31,736x = 64,928 × 64,928
4. Step 4: Simplify right side
   31,736x = 4,215,645,184
5. Step 5: Solve for x
   x = 4,215,645,184/31,736
6. Step 6: Final answer
   x = 132,834.80