Finding the Third Proportional to 2,892.38 and 3,346.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.38 : 3,346.88 = 3,346.88 : x
2. Step 2: Convert to fraction form
   2,892.38/3,346.88 = 3,346.88/x
3. Step 3: Cross multiply
   2,892.38x = 3,346.88 × 3,346.88
4. Step 4: Simplify right side
   2,892.38x = 11,201,572.27
5. Step 5: Solve for x
   x = 11,201,572.27/2,892.38
6. Step 6: Final answer
   x = 3,872.79