Finding the Third Proportional to 31,638 and 64,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,638 : 64,855.50 = 64,855.50 : x
2. Step 2: Convert to fraction form
   31,638/64,855.50 = 64,855.50/x
3. Step 3: Cross multiply
   31,638x = 64,855.50 × 64,855.50
4. Step 4: Simplify right side
   31,638x = 4,206,235,880.25
5. Step 5: Solve for x
   x = 4,206,235,880.25/31,638
6. Step 6: Final answer
   x = 132,948.86