Finding the Third Proportional to 2,098.78 and 2,942.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.78 : 2,942.06 = 2,942.06 : x
2. Step 2: Convert to fraction form
   2,098.78/2,942.06 = 2,942.06/x
3. Step 3: Cross multiply
   2,098.78x = 2,942.06 × 2,942.06
4. Step 4: Simplify right side
   2,098.78x = 8,655,731.75
5. Step 5: Solve for x
   x = 8,655,731.75/2,098.78
6. Step 6: Final answer
   x = 4,124.17