Finding the Third Proportional to 1,147.92 and 2,656.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.92 : 2,656.55 = 2,656.55 : x
2. Step 2: Convert to fraction form
   1,147.92/2,656.55 = 2,656.55/x
3. Step 3: Cross multiply
   1,147.92x = 2,656.55 × 2,656.55
4. Step 4: Simplify right side
   1,147.92x = 7,057,241.30
5. Step 5: Solve for x
   x = 7,057,241.30/1,147.92
6. Step 6: Final answer
   x = 6,147.84