Finding the Third Proportional to 42,851 and 65,906

Step by Step Solution

1. Step 1: Write the proportion equation
   42,851 : 65,906 = 65,906 : x
2. Step 2: Convert to fraction form
   42,851/65,906 = 65,906/x
3. Step 3: Cross multiply
   42,851x = 65,906 × 65,906
4. Step 4: Simplify right side
   42,851x = 4,343,600,836
5. Step 5: Solve for x
   x = 4,343,600,836/42,851
6. Step 6: Final answer
   x = 101,365.22