Finding the Third Proportional to 1,142.62 and 1,706.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,142.62 : 1,706.46 = 1,706.46 : x
2. Step 2: Convert to fraction form
   1,142.62/1,706.46 = 1,706.46/x
3. Step 3: Cross multiply
   1,142.62x = 1,706.46 × 1,706.46
4. Step 4: Simplify right side
   1,142.62x = 2,911,998.93
5. Step 5: Solve for x
   x = 2,911,998.93/1,142.62
6. Step 6: Final answer
   x = 2,548.52