Finding the Third Proportional to 2,526 and 3,772

Step by Step Solution

1. Step 1: Write the proportion equation
   2,526 : 3,772 = 3,772 : x
2. Step 2: Convert to fraction form
   2,526/3,772 = 3,772/x
3. Step 3: Cross multiply
   2,526x = 3,772 × 3,772
4. Step 4: Simplify right side
   2,526x = 14,227,984
5. Step 5: Solve for x
   x = 14,227,984/2,526
6. Step 6: Final answer
   x = 5,632.61