Finding the Third Proportional to 38,890.50 and 83,694

Step by Step Solution

1. Step 1: Write the proportion equation
   38,890.50 : 83,694 = 83,694 : x
2. Step 2: Convert to fraction form
   38,890.50/83,694 = 83,694/x
3. Step 3: Cross multiply
   38,890.50x = 83,694 × 83,694
4. Step 4: Simplify right side
   38,890.50x = 7,004,685,636
5. Step 5: Solve for x
   x = 7,004,685,636/38,890.50
6. Step 6: Final answer
   x = 180,113.03