Finding the Third Proportional to 31,517 and 64,609

Step by Step Solution

1. Step 1: Write the proportion equation
   31,517 : 64,609 = 64,609 : x
2. Step 2: Convert to fraction form
   31,517/64,609 = 64,609/x
3. Step 3: Cross multiply
   31,517x = 64,609 × 64,609
4. Step 4: Simplify right side
   31,517x = 4,174,322,881
5. Step 5: Solve for x
   x = 4,174,322,881/31,517
6. Step 6: Final answer
   x = 132,446.71