Finding the Third Proportional to 63,002 and 101,511

Step by Step Solution

1. Step 1: Write the proportion equation
   63,002 : 101,511 = 101,511 : x
2. Step 2: Convert to fraction form
   63,002/101,511 = 101,511/x
3. Step 3: Cross multiply
   63,002x = 101,511 × 101,511
4. Step 4: Simplify right side
   63,002x = 10,304,483,121
5. Step 5: Solve for x
   x = 10,304,483,121/63,002
6. Step 6: Final answer
   x = 163,558.03