Finding the Third Proportional to 31,638 and 64,188

Step by Step Solution

1. Step 1: Write the proportion equation
   31,638 : 64,188 = 64,188 : x
2. Step 2: Convert to fraction form
   31,638/64,188 = 64,188/x
3. Step 3: Cross multiply
   31,638x = 64,188 × 64,188
4. Step 4: Simplify right side
   31,638x = 4,120,099,344
5. Step 5: Solve for x
   x = 4,120,099,344/31,638
6. Step 6: Final answer
   x = 130,226.29