Finding the Third Proportional to 19,814 and 42,724

Step by Step Solution

1. Step 1: Write the proportion equation
   19,814 : 42,724 = 42,724 : x
2. Step 2: Convert to fraction form
   19,814/42,724 = 42,724/x
3. Step 3: Cross multiply
   19,814x = 42,724 × 42,724
4. Step 4: Simplify right side
   19,814x = 1,825,340,176
5. Step 5: Solve for x
   x = 1,825,340,176/19,814
6. Step 6: Final answer
   x = 92,123.76