Finding the Third Proportional to 1,292.84 and 1,942.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292.84 : 1,942.10 = 1,942.10 : x
2. Step 2: Convert to fraction form
   1,292.84/1,942.10 = 1,942.10/x
3. Step 3: Cross multiply
   1,292.84x = 1,942.10 × 1,942.10
4. Step 4: Simplify right side
   1,292.84x = 3,771,758.48
5. Step 5: Solve for x
   x = 3,771,758.48/1,292.84
6. Step 6: Final answer
   x = 2,917.43