Finding the Third Proportional to 37,678 and 58,793

Step by Step Solution

1. Step 1: Write the proportion equation
   37,678 : 58,793 = 58,793 : x
2. Step 2: Convert to fraction form
   37,678/58,793 = 58,793/x
3. Step 3: Cross multiply
   37,678x = 58,793 × 58,793
4. Step 4: Simplify right side
   37,678x = 3,456,616,849
5. Step 5: Solve for x
   x = 3,456,616,849/37,678
6. Step 6: Final answer
   x = 91,740.99