Finding the Third Proportional to 1,147.50 and 2,665.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.50 : 2,665.69 = 2,665.69 : x
2. Step 2: Convert to fraction form
   1,147.50/2,665.69 = 2,665.69/x
3. Step 3: Cross multiply
   1,147.50x = 2,665.69 × 2,665.69
4. Step 4: Simplify right side
   1,147.50x = 7,105,889.85
5. Step 5: Solve for x
   x = 7,105,889.85/1,147.50
6. Step 6: Final answer
   x = 6,192.50