Finding the Third Proportional to 38,229.79 and 82,610.51

Step by Step Solution

1. Step 1: Write the proportion equation
   38,229.79 : 82,610.51 = 82,610.51 : x
2. Step 2: Convert to fraction form
   38,229.79/82,610.51 = 82,610.51/x
3. Step 3: Cross multiply
   38,229.79x = 82,610.51 × 82,610.51
4. Step 4: Simplify right side
   38,229.79x = 6,824,496,001.04
5. Step 5: Solve for x
   x = 6,824,496,001.04/38,229.79
6. Step 6: Final answer
   x = 178,512.54