Finding the Third Proportional to 37,947 and 58,631

Step by Step Solution

1. Step 1: Write the proportion equation
   37,947 : 58,631 = 58,631 : x
2. Step 2: Convert to fraction form
   37,947/58,631 = 58,631/x
3. Step 3: Cross multiply
   37,947x = 58,631 × 58,631
4. Step 4: Simplify right side
   37,947x = 3,437,594,161
5. Step 5: Solve for x
   x = 3,437,594,161/37,947
6. Step 6: Final answer
   x = 90,589.35