Finding the Third Proportional to 20,646 and 31,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,646 : 31,636.50 = 31,636.50 : x
2. Step 2: Convert to fraction form
   20,646/31,636.50 = 31,636.50/x
3. Step 3: Cross multiply
   20,646x = 31,636.50 × 31,636.50
4. Step 4: Simplify right side
   20,646x = 1,000,868,132.25
5. Step 5: Solve for x
   x = 1,000,868,132.25/20,646
6. Step 6: Final answer
   x = 48,477.58