Finding the Third Proportional to 31,185 and 64,206

Step by Step Solution

1. Step 1: Write the proportion equation
   31,185 : 64,206 = 64,206 : x
2. Step 2: Convert to fraction form
   31,185/64,206 = 64,206/x
3. Step 3: Cross multiply
   31,185x = 64,206 × 64,206
4. Step 4: Simplify right side
   31,185x = 4,122,410,436
5. Step 5: Solve for x
   x = 4,122,410,436/31,185
6. Step 6: Final answer
   x = 132,192.09