Finding the Third Proportional to 32,105 and 77,343

Step by Step Solution

1. Step 1: Write the proportion equation
   32,105 : 77,343 = 77,343 : x
2. Step 2: Convert to fraction form
   32,105/77,343 = 77,343/x
3. Step 3: Cross multiply
   32,105x = 77,343 × 77,343
4. Step 4: Simplify right side
   32,105x = 5,981,939,649
5. Step 5: Solve for x
   x = 5,981,939,649/32,105
6. Step 6: Final answer
   x = 186,324.24