Finding the Third Proportional to 37 and 37

Step by Step Solution

1. Step 1: Write the proportion equation
   37 : 37 = 37 : x
2. Step 2: Convert to fraction form
   37/37 = 37/x
3. Step 3: Cross multiply
   37x = 37 × 37
4. Step 4: Simplify right side
   37x = 1,369
5. Step 5: Solve for x
   x = 1,369/37
6. Step 6: Final answer
   x = 37