Finding the Third Proportional to 38,459.81 and 79,977.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,459.81 : 79,977.38 = 79,977.38 : x
2. Step 2: Convert to fraction form
   38,459.81/79,977.38 = 79,977.38/x
3. Step 3: Cross multiply
   38,459.81x = 79,977.38 × 79,977.38
4. Step 4: Simplify right side
   38,459.81x = 6,396,380,511.89
5. Step 5: Solve for x
   x = 6,396,380,511.89/38,459.81
6. Step 6: Final answer
   x = 166,313.36