Finding the Third Proportional to 31,648 and 64,205

Step by Step Solution

1. Step 1: Write the proportion equation
   31,648 : 64,205 = 64,205 : x
2. Step 2: Convert to fraction form
   31,648/64,205 = 64,205/x
3. Step 3: Cross multiply
   31,648x = 64,205 × 64,205
4. Step 4: Simplify right side
   31,648x = 4,122,282,025
5. Step 5: Solve for x
   x = 4,122,282,025/31,648
6. Step 6: Final answer
   x = 130,254.11