Finding the Third Proportional to 1,947.80 and 2,285.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,947.80 : 2,285.72 = 2,285.72 : x
2. Step 2: Convert to fraction form
   1,947.80/2,285.72 = 2,285.72/x
3. Step 3: Cross multiply
   1,947.80x = 2,285.72 × 2,285.72
4. Step 4: Simplify right side
   1,947.80x = 5,224,510.20
5. Step 5: Solve for x
   x = 5,224,510.20/1,947.80
6. Step 6: Final answer
   x = 2,682.27