Finding the Third Proportional to 31,626 and 64,161

Step by Step Solution

1. Step 1: Write the proportion equation
   31,626 : 64,161 = 64,161 : x
2. Step 2: Convert to fraction form
   31,626/64,161 = 64,161/x
3. Step 3: Cross multiply
   31,626x = 64,161 × 64,161
4. Step 4: Simplify right side
   31,626x = 4,116,633,921
5. Step 5: Solve for x
   x = 4,116,633,921/31,626
6. Step 6: Final answer
   x = 130,166.13