Finding the Third Proportional to 1,947.80 and 3,485.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,947.80 : 3,485.53 = 3,485.53 : x
2. Step 2: Convert to fraction form
   1,947.80/3,485.53 = 3,485.53/x
3. Step 3: Cross multiply
   1,947.80x = 3,485.53 × 3,485.53
4. Step 4: Simplify right side
   1,947.80x = 12,148,928.09
5. Step 5: Solve for x
   x = 12,148,928.09/1,947.80
6. Step 6: Final answer
   x = 6,237.27