Finding the Third Proportional to 38,353.50 and 83,679

Step by Step Solution

1. Step 1: Write the proportion equation
   38,353.50 : 83,679 = 83,679 : x
2. Step 2: Convert to fraction form
   38,353.50/83,679 = 83,679/x
3. Step 3: Cross multiply
   38,353.50x = 83,679 × 83,679
4. Step 4: Simplify right side
   38,353.50x = 7,002,175,041
5. Step 5: Solve for x
   x = 7,002,175,041/38,353.50
6. Step 6: Final answer
   x = 182,569.39