Finding the Third Proportional to 42,872 and 65,928

Step by Step Solution

1. Step 1: Write the proportion equation
   42,872 : 65,928 = 65,928 : x
2. Step 2: Convert to fraction form
   42,872/65,928 = 65,928/x
3. Step 3: Cross multiply
   42,872x = 65,928 × 65,928
4. Step 4: Simplify right side
   42,872x = 4,346,501,184
5. Step 5: Solve for x
   x = 4,346,501,184/42,872
6. Step 6: Final answer
   x = 101,383.21