Finding the Third Proportional to 38,079 and 82,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,079 : 82,513.50 = 82,513.50 : x
2. Step 2: Convert to fraction form
   38,079/82,513.50 = 82,513.50/x
3. Step 3: Cross multiply
   38,079x = 82,513.50 × 82,513.50
4. Step 4: Simplify right side
   38,079x = 6,808,477,682.25
5. Step 5: Solve for x
   x = 6,808,477,682.25/38,079
6. Step 6: Final answer
   x = 178,798.75