Finding the Third Proportional to 37,742 and 51,078

Step by Step Solution

1. Step 1: Write the proportion equation
   37,742 : 51,078 = 51,078 : x
2. Step 2: Convert to fraction form
   37,742/51,078 = 51,078/x
3. Step 3: Cross multiply
   37,742x = 51,078 × 51,078
4. Step 4: Simplify right side
   37,742x = 2,608,962,084
5. Step 5: Solve for x
   x = 2,608,962,084/37,742
6. Step 6: Final answer
   x = 69,126.23