Finding the Third Proportional to 19,776.50 and 30,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,776.50 : 30,537.50 = 30,537.50 : x
2. Step 2: Convert to fraction form
   19,776.50/30,537.50 = 30,537.50/x
3. Step 3: Cross multiply
   19,776.50x = 30,537.50 × 30,537.50
4. Step 4: Simplify right side
   19,776.50x = 932,538,906.25
5. Step 5: Solve for x
   x = 932,538,906.25/19,776.50
6. Step 6: Final answer
   x = 47,153.89