Finding the Third Proportional to 19,727 and 42,797

Step by Step Solution

1. Step 1: Write the proportion equation
   19,727 : 42,797 = 42,797 : x
2. Step 2: Convert to fraction form
   19,727/42,797 = 42,797/x
3. Step 3: Cross multiply
   19,727x = 42,797 × 42,797
4. Step 4: Simplify right side
   19,727x = 1,831,583,209
5. Step 5: Solve for x
   x = 1,831,583,209/19,727
6. Step 6: Final answer
   x = 92,846.52