Finding the Third Proportional to 9,002 and 19,702

Step by Step Solution

1. Step 1: Write the proportion equation
   9,002 : 19,702 = 19,702 : x
2. Step 2: Convert to fraction form
   9,002/19,702 = 19,702/x
3. Step 3: Cross multiply
   9,002x = 19,702 × 19,702
4. Step 4: Simplify right side
   9,002x = 388,168,804
5. Step 5: Solve for x
   x = 388,168,804/9,002
6. Step 6: Final answer
   x = 43,120.28