Finding the Third Proportional to 19,298 and 42,294

Step by Step Solution

1. Step 1: Write the proportion equation
   19,298 : 42,294 = 42,294 : x
2. Step 2: Convert to fraction form
   19,298/42,294 = 42,294/x
3. Step 3: Cross multiply
   19,298x = 42,294 × 42,294
4. Step 4: Simplify right side
   19,298x = 1,788,782,436
5. Step 5: Solve for x
   x = 1,788,782,436/19,298
6. Step 6: Final answer
   x = 92,692.63