Finding the Third Proportional to 2,142 and 2,364.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142 : 2,364.75 = 2,364.75 : x
2. Step 2: Convert to fraction form
   2,142/2,364.75 = 2,364.75/x
3. Step 3: Cross multiply
   2,142x = 2,364.75 × 2,364.75
4. Step 4: Simplify right side
   2,142x = 5,592,042.56
5. Step 5: Solve for x
   x = 5,592,042.56/2,142
6. Step 6: Final answer
   x = 2,610.66