Finding the Third Proportional to 1,567.69 and 3,749.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,567.69 : 3,749.63 = 3,749.63 : x
2. Step 2: Convert to fraction form
   1,567.69/3,749.63 = 3,749.63/x
3. Step 3: Cross multiply
   1,567.69x = 3,749.63 × 3,749.63
4. Step 4: Simplify right side
   1,567.69x = 14,059,687.64
5. Step 5: Solve for x
   x = 14,059,687.64/1,567.69
6. Step 6: Final answer
   x = 8,968.42