Finding the Third Proportional to 53,354 and 83,694

Step by Step Solution

1. Step 1: Write the proportion equation
   53,354 : 83,694 = 83,694 : x
2. Step 2: Convert to fraction form
   53,354/83,694 = 83,694/x
3. Step 3: Cross multiply
   53,354x = 83,694 × 83,694
4. Step 4: Simplify right side
   53,354x = 7,004,685,636
5. Step 5: Solve for x
   x = 7,004,685,636/53,354
6. Step 6: Final answer
   x = 131,286.98