Finding the Third Proportional to 9,769.50 and 19,050.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,769.50 : 19,050.75 = 19,050.75 : x
2. Step 2: Convert to fraction form
   9,769.50/19,050.75 = 19,050.75/x
3. Step 3: Cross multiply
   9,769.50x = 19,050.75 × 19,050.75
4. Step 4: Simplify right side
   9,769.50x = 362,931,075.56
5. Step 5: Solve for x
   x = 362,931,075.56/9,769.50
6. Step 6: Final answer
   x = 37,149.40