Finding the Third Proportional to 37,977 and 58,956

Step by Step Solution

1. Step 1: Write the proportion equation
   37,977 : 58,956 = 58,956 : x
2. Step 2: Convert to fraction form
   37,977/58,956 = 58,956/x
3. Step 3: Cross multiply
   37,977x = 58,956 × 58,956
4. Step 4: Simplify right side
   37,977x = 3,475,809,936
5. Step 5: Solve for x
   x = 3,475,809,936/37,977
6. Step 6: Final answer
   x = 91,524.08