Finding the Third Proportional to 32,851 and 72,055

Step by Step Solution

1. Step 1: Write the proportion equation
   32,851 : 72,055 = 72,055 : x
2. Step 2: Convert to fraction form
   32,851/72,055 = 72,055/x
3. Step 3: Cross multiply
   32,851x = 72,055 × 72,055
4. Step 4: Simplify right side
   32,851x = 5,191,923,025
5. Step 5: Solve for x
   x = 5,191,923,025/32,851
6. Step 6: Final answer
   x = 158,044.60