Finding the Third Proportional to 31,752 and 71,021.81

Step by Step Solution

1. Step 1: Write the proportion equation
   31,752 : 71,021.81 = 71,021.81 : x
2. Step 2: Convert to fraction form
   31,752/71,021.81 = 71,021.81/x
3. Step 3: Cross multiply
   31,752x = 71,021.81 × 71,021.81
4. Step 4: Simplify right side
   31,752x = 5,044,097,850.79
5. Step 5: Solve for x
   x = 5,044,097,850.79/31,752
6. Step 6: Final answer
   x = 158,859.22