Finding the Third Proportional to 19,826.25 and 30,684.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,826.25 : 30,684.75 = 30,684.75 : x
2. Step 2: Convert to fraction form
   19,826.25/30,684.75 = 30,684.75/x
3. Step 3: Cross multiply
   19,826.25x = 30,684.75 × 30,684.75
4. Step 4: Simplify right side
   19,826.25x = 941,553,882.56
5. Step 5: Solve for x
   x = 941,553,882.56/19,826.25
6. Step 6: Final answer
   x = 47,490.27