Finding the Third Proportional to 38,259 and 82,665.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38,259 : 82,665.56 = 82,665.56 : x
2. Step 2: Convert to fraction form
   38,259/82,665.56 = 82,665.56/x
3. Step 3: Cross multiply
   38,259x = 82,665.56 × 82,665.56
4. Step 4: Simplify right side
   38,259x = 6,833,595,223.44
5. Step 5: Solve for x
   x = 6,833,595,223.44/38,259
6. Step 6: Final answer
   x = 178,614.06