Finding the Third Proportional to 942.38 and 1,566.56

Step by Step Solution

1. Step 1: Write the proportion equation
   942.38 : 1,566.56 = 1,566.56 : x
2. Step 2: Convert to fraction form
   942.38/1,566.56 = 1,566.56/x
3. Step 3: Cross multiply
   942.38x = 1,566.56 × 1,566.56
4. Step 4: Simplify right side
   942.38x = 2,454,118.07
5. Step 5: Solve for x
   x = 2,454,118.07/942.38
6. Step 6: Final answer
   x = 2,604.18