Finding the Third Proportional to 19,766.25 and 30,783.38

Step by Step Solution

1. Step 1: Write the proportion equation
   19,766.25 : 30,783.38 = 30,783.38 : x
2. Step 2: Convert to fraction form
   19,766.25/30,783.38 = 30,783.38/x
3. Step 3: Cross multiply
   19,766.25x = 30,783.38 × 30,783.38
4. Step 4: Simplify right side
   19,766.25x = 947,616,176.39
5. Step 5: Solve for x
   x = 947,616,176.39/19,766.25
6. Step 6: Final answer
   x = 47,941.12