Finding the Third Proportional to 2,038.50 and 2,892.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,038.50 : 2,892.75 = 2,892.75 : x
2. Step 2: Convert to fraction form
   2,038.50/2,892.75 = 2,892.75/x
3. Step 3: Cross multiply
   2,038.50x = 2,892.75 × 2,892.75
4. Step 4: Simplify right side
   2,038.50x = 8,368,002.56
5. Step 5: Solve for x
   x = 8,368,002.56/2,038.50
6. Step 6: Final answer
   x = 4,104.98