Finding the Third Proportional to 19,414 and 42,502

Step by Step Solution

1. Step 1: Write the proportion equation
   19,414 : 42,502 = 42,502 : x
2. Step 2: Convert to fraction form
   19,414/42,502 = 42,502/x
3. Step 3: Cross multiply
   19,414x = 42,502 × 42,502
4. Step 4: Simplify right side
   19,414x = 1,806,420,004
5. Step 5: Solve for x
   x = 1,806,420,004/19,414
6. Step 6: Final answer
   x = 93,047.29