Finding the Third Proportional to 1,654.88 and 3,540.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,654.88 : 3,540.09 = 3,540.09 : x
2. Step 2: Convert to fraction form
   1,654.88/3,540.09 = 3,540.09/x
3. Step 3: Cross multiply
   1,654.88x = 3,540.09 × 3,540.09
4. Step 4: Simplify right side
   1,654.88x = 12,532,263.76
5. Step 5: Solve for x
   x = 12,532,263.76/1,654.88
6. Step 6: Final answer
   x = 7,572.94