Finding the Third Proportional to 1,256.63 and 1,632.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.63 : 1,632.56 = 1,632.56 : x
2. Step 2: Convert to fraction form
   1,256.63/1,632.56 = 1,632.56/x
3. Step 3: Cross multiply
   1,256.63x = 1,632.56 × 1,632.56
4. Step 4: Simplify right side
   1,256.63x = 2,665,260.32
5. Step 5: Solve for x
   x = 2,665,260.32/1,256.63
6. Step 6: Final answer
   x = 2,120.97