Finding the Third Proportional to 2,270.63 and 3,471.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270.63 : 3,471.88 = 3,471.88 : x
2. Step 2: Convert to fraction form
   2,270.63/3,471.88 = 3,471.88/x
3. Step 3: Cross multiply
   2,270.63x = 3,471.88 × 3,471.88
4. Step 4: Simplify right side
   2,270.63x = 12,053,916.02
5. Step 5: Solve for x
   x = 12,053,916.02/2,270.63
6. Step 6: Final answer
   x = 5,308.63