Finding the Third Proportional to 9,686.50 and 20,536

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.50 : 20,536 = 20,536 : x
2. Step 2: Convert to fraction form
   9,686.50/20,536 = 20,536/x
3. Step 3: Cross multiply
   9,686.50x = 20,536 × 20,536
4. Step 4: Simplify right side
   9,686.50x = 421,727,296
5. Step 5: Solve for x
   x = 421,727,296/9,686.50
6. Step 6: Final answer
   x = 43,537.63