Finding the Third Proportional to 1,566.56 and 2,061.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.56 : 2,061.28 = 2,061.28 : x
2. Step 2: Convert to fraction form
   1,566.56/2,061.28 = 2,061.28/x
3. Step 3: Cross multiply
   1,566.56x = 2,061.28 × 2,061.28
4. Step 4: Simplify right side
   1,566.56x = 4,248,880.39
5. Step 5: Solve for x
   x = 4,248,880.39/1,566.56
6. Step 6: Final answer
   x = 2,712.23