Finding the Third Proportional to 31,742 and 64,940

Step by Step Solution

1. Step 1: Write the proportion equation
   31,742 : 64,940 = 64,940 : x
2. Step 2: Convert to fraction form
   31,742/64,940 = 64,940/x
3. Step 3: Cross multiply
   31,742x = 64,940 × 64,940
4. Step 4: Simplify right side
   31,742x = 4,217,203,600
5. Step 5: Solve for x
   x = 4,217,203,600/31,742
6. Step 6: Final answer
   x = 132,858.79