Finding the Third Proportional to 938 and 1,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   938 : 1,414.50 = 1,414.50 : x
2. Step 2: Convert to fraction form
   938/1,414.50 = 1,414.50/x
3. Step 3: Cross multiply
   938x = 1,414.50 × 1,414.50
4. Step 4: Simplify right side
   938x = 2,000,810.25
5. Step 5: Solve for x
   x = 2,000,810.25/938
6. Step 6: Final answer
   x = 2,133.06