Finding the Third Proportional to 31,548 and 64,734

Step by Step Solution

1. Step 1: Write the proportion equation
   31,548 : 64,734 = 64,734 : x
2. Step 2: Convert to fraction form
   31,548/64,734 = 64,734/x
3. Step 3: Cross multiply
   31,548x = 64,734 × 64,734
4. Step 4: Simplify right side
   31,548x = 4,190,490,756
5. Step 5: Solve for x
   x = 4,190,490,756/31,548
6. Step 6: Final answer
   x = 132,829.05