Finding the Third Proportional to 19,749 and 31,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,749 : 31,576.50 = 31,576.50 : x
2. Step 2: Convert to fraction form
   19,749/31,576.50 = 31,576.50/x
3. Step 3: Cross multiply
   19,749x = 31,576.50 × 31,576.50
4. Step 4: Simplify right side
   19,749x = 997,075,352.25
5. Step 5: Solve for x
   x = 997,075,352.25/19,749
6. Step 6: Final answer
   x = 50,487.38