Finding the Third Proportional to 11,686.50 and 20,364.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,686.50 : 20,364.75 = 20,364.75 : x
2. Step 2: Convert to fraction form
   11,686.50/20,364.75 = 20,364.75/x
3. Step 3: Cross multiply
   11,686.50x = 20,364.75 × 20,364.75
4. Step 4: Simplify right side
   11,686.50x = 414,723,042.56
5. Step 5: Solve for x
   x = 414,723,042.56/11,686.50
6. Step 6: Final answer
   x = 35,487.36