Finding the Third Proportional to 2,142.42 and 4,685.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.42 : 4,685.34 = 4,685.34 : x
2. Step 2: Convert to fraction form
   2,142.42/4,685.34 = 4,685.34/x
3. Step 3: Cross multiply
   2,142.42x = 4,685.34 × 4,685.34
4. Step 4: Simplify right side
   2,142.42x = 21,952,446.06
5. Step 5: Solve for x
   x = 21,952,446.06/2,142.42
6. Step 6: Final answer
   x = 10,246.56