Finding the Third Proportional to 1,047 and 1,567.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,047 : 1,567.25 = 1,567.25 : x
2. Step 2: Convert to fraction form
   1,047/1,567.25 = 1,567.25/x
3. Step 3: Cross multiply
   1,047x = 1,567.25 × 1,567.25
4. Step 4: Simplify right side
   1,047x = 2,456,272.56
5. Step 5: Solve for x
   x = 2,456,272.56/1,047
6. Step 6: Final answer
   x = 2,346.01