Finding the Third Proportional to 36,692 and 51,054

Step by Step Solution

1. Step 1: Write the proportion equation
   36,692 : 51,054 = 51,054 : x
2. Step 2: Convert to fraction form
   36,692/51,054 = 51,054/x
3. Step 3: Cross multiply
   36,692x = 51,054 × 51,054
4. Step 4: Simplify right side
   36,692x = 2,606,510,916
5. Step 5: Solve for x
   x = 2,606,510,916/36,692
6. Step 6: Final answer
   x = 71,037.58