Finding the Third Proportional to 32,834 and 46,947

Step by Step Solution

1. Step 1: Write the proportion equation
   32,834 : 46,947 = 46,947 : x
2. Step 2: Convert to fraction form
   32,834/46,947 = 46,947/x
3. Step 3: Cross multiply
   32,834x = 46,947 × 46,947
4. Step 4: Simplify right side
   32,834x = 2,204,020,809
5. Step 5: Solve for x
   x = 2,204,020,809/32,834
6. Step 6: Final answer
   x = 67,126.17