Finding the Third Proportional to 1,031.87 and 1,567.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,031.87 : 1,567.55 = 1,567.55 : x
2. Step 2: Convert to fraction form
   1,031.87/1,567.55 = 1,567.55/x
3. Step 3: Cross multiply
   1,031.87x = 1,567.55 × 1,567.55
4. Step 4: Simplify right side
   1,031.87x = 2,457,203.21
5. Step 5: Solve for x
   x = 2,457,203.21/1,031.87
6. Step 6: Final answer
   x = 2,381.31