Finding the Third Proportional to 1,947.80 and 4,075.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,947.80 : 4,075.00 = 4,075.00 : x
2. Step 2: Convert to fraction form
   1,947.80/4,075.00 = 4,075.00/x
3. Step 3: Cross multiply
   1,947.80x = 4,075.00 × 4,075.00
4. Step 4: Simplify right side
   1,947.80x = 16,605,593.16
5. Step 5: Solve for x
   x = 16,605,593.16/1,947.80
6. Step 6: Final answer
   x = 8,525.32