Finding the Third Proportional to 19,413 and 42,354

Step by Step Solution

1. Step 1: Write the proportion equation
   19,413 : 42,354 = 42,354 : x
2. Step 2: Convert to fraction form
   19,413/42,354 = 42,354/x
3. Step 3: Cross multiply
   19,413x = 42,354 × 42,354
4. Step 4: Simplify right side
   19,413x = 1,793,861,316
5. Step 5: Solve for x
   x = 1,793,861,316/19,413
6. Step 6: Final answer
   x = 92,405.16