Finding the Third Proportional to 37,678 and 59,649

Step by Step Solution

1. Step 1: Write the proportion equation
   37,678 : 59,649 = 59,649 : x
2. Step 2: Convert to fraction form
   37,678/59,649 = 59,649/x
3. Step 3: Cross multiply
   37,678x = 59,649 × 59,649
4. Step 4: Simplify right side
   37,678x = 3,558,003,201
5. Step 5: Solve for x
   x = 3,558,003,201/37,678
6. Step 6: Final answer
   x = 94,431.85