Finding the Third Proportional to 1,970 and 3,174

Step by Step Solution

1. Step 1: Write the proportion equation
   1,970 : 3,174 = 3,174 : x
2. Step 2: Convert to fraction form
   1,970/3,174 = 3,174/x
3. Step 3: Cross multiply
   1,970x = 3,174 × 3,174
4. Step 4: Simplify right side
   1,970x = 10,074,276
5. Step 5: Solve for x
   x = 10,074,276/1,970
6. Step 6: Final answer
   x = 5,113.85