Finding the Third Proportional to 1,254.56 and 1,880.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,254.56 : 1,880.06 = 1,880.06 : x
2. Step 2: Convert to fraction form
   1,254.56/1,880.06 = 1,880.06/x
3. Step 3: Cross multiply
   1,254.56x = 1,880.06 × 1,880.06
4. Step 4: Simplify right side
   1,254.56x = 3,534,635.00
5. Step 5: Solve for x
   x = 3,534,635.00/1,254.56
6. Step 6: Final answer
   x = 2,817.42