Finding the Third Proportional to 63,084 and 101,634

Step by Step Solution

1. Step 1: Write the proportion equation
   63,084 : 101,634 = 101,634 : x
2. Step 2: Convert to fraction form
   63,084/101,634 = 101,634/x
3. Step 3: Cross multiply
   63,084x = 101,634 × 101,634
4. Step 4: Simplify right side
   63,084x = 10,329,469,956
5. Step 5: Solve for x
   x = 10,329,469,956/63,084
6. Step 6: Final answer
   x = 163,741.52