Finding the Third Proportional to 1,654.17 and 3,581.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,654.17 : 3,581.72 = 3,581.72 : x
2. Step 2: Convert to fraction form
   1,654.17/3,581.72 = 3,581.72/x
3. Step 3: Cross multiply
   1,654.17x = 3,581.72 × 3,581.72
4. Step 4: Simplify right side
   1,654.17x = 12,828,709.20
5. Step 5: Solve for x
   x = 12,828,709.20/1,654.17
6. Step 6: Final answer
   x = 7,755.37