Finding the Third Proportional to 19,784.50 and 30,593.38

Step by Step Solution

1. Step 1: Write the proportion equation
   19,784.50 : 30,593.38 = 30,593.38 : x
2. Step 2: Convert to fraction form
   19,784.50/30,593.38 = 30,593.38/x
3. Step 3: Cross multiply
   19,784.50x = 30,593.38 × 30,593.38
4. Step 4: Simplify right side
   19,784.50x = 935,954,593.89
5. Step 5: Solve for x
   x = 935,954,593.89/19,784.50
6. Step 6: Final answer
   x = 47,307.47