Finding the Third Proportional to 1,297.31 and 1,864.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,297.31 : 1,864.88 = 1,864.88 : x
2. Step 2: Convert to fraction form
   1,297.31/1,864.88 = 1,864.88/x
3. Step 3: Cross multiply
   1,297.31x = 1,864.88 × 1,864.88
4. Step 4: Simplify right side
   1,297.31x = 3,477,758.77
5. Step 5: Solve for x
   x = 3,477,758.77/1,297.31
6. Step 6: Final answer
   x = 2,680.74