Finding the Third Proportional to 37,678 and 51,172

Step by Step Solution

1. Step 1: Write the proportion equation
   37,678 : 51,172 = 51,172 : x
2. Step 2: Convert to fraction form
   37,678/51,172 = 51,172/x
3. Step 3: Cross multiply
   37,678x = 51,172 × 51,172
4. Step 4: Simplify right side
   37,678x = 2,618,573,584
5. Step 5: Solve for x
   x = 2,618,573,584/37,678
6. Step 6: Final answer
   x = 69,498.74