Finding the Third Proportional to 17,572 and 42,002

Step by Step Solution

1. Step 1: Write the proportion equation
   17,572 : 42,002 = 42,002 : x
2. Step 2: Convert to fraction form
   17,572/42,002 = 42,002/x
3. Step 3: Cross multiply
   17,572x = 42,002 × 42,002
4. Step 4: Simplify right side
   17,572x = 1,764,168,004
5. Step 5: Solve for x
   x = 1,764,168,004/17,572
6. Step 6: Final answer
   x = 100,396.54