Finding the Third Proportional to 1,256.91 and 1,931.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.91 : 1,931.06 = 1,931.06 : x
2. Step 2: Convert to fraction form
   1,256.91/1,931.06 = 1,931.06/x
3. Step 3: Cross multiply
   1,256.91x = 1,931.06 × 1,931.06
4. Step 4: Simplify right side
   1,256.91x = 3,729,002.38
5. Step 5: Solve for x
   x = 3,729,002.38/1,256.91
6. Step 6: Final answer
   x = 2,966.81