Finding the Third Proportional to 1,741 and 3,614

Step by Step Solution

1. Step 1: Write the proportion equation
   1,741 : 3,614 = 3,614 : x
2. Step 2: Convert to fraction form
   1,741/3,614 = 3,614/x
3. Step 3: Cross multiply
   1,741x = 3,614 × 3,614
4. Step 4: Simplify right side
   1,741x = 13,060,996
5. Step 5: Solve for x
   x = 13,060,996/1,741
6. Step 6: Final answer
   x = 7,502.01