Finding the Third Proportional to 37.45 and 51.05

Step by Step Solution

1. Step 1: Write the proportion equation
   37.45 : 51.05 = 51.05 : x
2. Step 2: Convert to fraction form
   37.45/51.05 = 51.05/x
3. Step 3: Cross multiply
   37.45x = 51.05 × 51.05
4. Step 4: Simplify right side
   37.45x = 2,605.78
5. Step 5: Solve for x
   x = 2,605.78/37.45
6. Step 6: Final answer
   x = 69.57