Finding the Third Proportional to 938 and 2,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   938 : 2,429.50 = 2,429.50 : x
2. Step 2: Convert to fraction form
   938/2,429.50 = 2,429.50/x
3. Step 3: Cross multiply
   938x = 2,429.50 × 2,429.50
4. Step 4: Simplify right side
   938x = 5,902,470.25
5. Step 5: Solve for x
   x = 5,902,470.25/938
6. Step 6: Final answer
   x = 6,292.61