Finding the Third Proportional to 19,825.50 and 30,734.25

Step by Step Solution

1. Step 1: Write the proportion equation
   19,825.50 : 30,734.25 = 30,734.25 : x
2. Step 2: Convert to fraction form
   19,825.50/30,734.25 = 30,734.25/x
3. Step 3: Cross multiply
   19,825.50x = 30,734.25 × 30,734.25
4. Step 4: Simplify right side
   19,825.50x = 944,594,123.06
5. Step 5: Solve for x
   x = 944,594,123.06/19,825.50
6. Step 6: Final answer
   x = 47,645.41