Finding the Third Proportional to 31,639 and 64,186

Step by Step Solution

1. Step 1: Write the proportion equation
   31,639 : 64,186 = 64,186 : x
2. Step 2: Convert to fraction form
   31,639/64,186 = 64,186/x
3. Step 3: Cross multiply
   31,639x = 64,186 × 64,186
4. Step 4: Simplify right side
   31,639x = 4,119,842,596
5. Step 5: Solve for x
   x = 4,119,842,596/31,639
6. Step 6: Final answer
   x = 130,214.06