Finding the Third Proportional to 1,570.13 and 2,765.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,570.13 : 2,765.63 = 2,765.63 : x
2. Step 2: Convert to fraction form
   1,570.13/2,765.63 = 2,765.63/x
3. Step 3: Cross multiply
   1,570.13x = 2,765.63 × 2,765.63
4. Step 4: Simplify right side
   1,570.13x = 7,648,681.64
5. Step 5: Solve for x
   x = 7,648,681.64/1,570.13
6. Step 6: Final answer
   x = 4,871.38