Finding the Third Proportional to 1,152.56 and 1,566.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.56 : 1,566.56 = 1,566.56 : x
2. Step 2: Convert to fraction form
   1,152.56/1,566.56 = 1,566.56/x
3. Step 3: Cross multiply
   1,152.56x = 1,566.56 × 1,566.56
4. Step 4: Simplify right side
   1,152.56x = 2,454,118.07
5. Step 5: Solve for x
   x = 2,454,118.07/1,152.56
6. Step 6: Final answer
   x = 2,129.27