Finding the Third Proportional to 1,095.75 and 1,655.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.75 : 1,655.02 = 1,655.02 : x
2. Step 2: Convert to fraction form
   1,095.75/1,655.02 = 1,655.02/x
3. Step 3: Cross multiply
   1,095.75x = 1,655.02 × 1,655.02
4. Step 4: Simplify right side
   1,095.75x = 2,739,076.72
5. Step 5: Solve for x
   x = 2,739,076.72/1,095.75
6. Step 6: Final answer
   x = 2,499.73