Finding the Third Proportional to 2,937 and 4,557.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,937 : 4,557.38 = 4,557.38 : x
2. Step 2: Convert to fraction form
   2,937/4,557.38 = 4,557.38/x
3. Step 3: Cross multiply
   2,937x = 4,557.38 × 4,557.38
4. Step 4: Simplify right side
   2,937x = 20,769,666.89
5. Step 5: Solve for x
   x = 20,769,666.89/2,937
6. Step 6: Final answer
   x = 7,071.73