Finding the Third Proportional to 19,768 and 42,814

Step by Step Solution

1. Step 1: Write the proportion equation
   19,768 : 42,814 = 42,814 : x
2. Step 2: Convert to fraction form
   19,768/42,814 = 42,814/x
3. Step 3: Cross multiply
   19,768x = 42,814 × 42,814
4. Step 4: Simplify right side
   19,768x = 1,833,038,596
5. Step 5: Solve for x
   x = 1,833,038,596/19,768
6. Step 6: Final answer
   x = 92,727.57