Finding the Third Proportional to 27,966.50 and 36,684.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,966.50 : 36,684.75 = 36,684.75 : x
2. Step 2: Convert to fraction form
   27,966.50/36,684.75 = 36,684.75/x
3. Step 3: Cross multiply
   27,966.50x = 36,684.75 × 36,684.75
4. Step 4: Simplify right side
   27,966.50x = 1,345,770,882.56
5. Step 5: Solve for x
   x = 1,345,770,882.56/27,966.50
6. Step 6: Final answer
   x = 48,120.82