Finding the Third Proportional to 35,738 and 63,634

Step by Step Solution

1. Step 1: Write the proportion equation
   35,738 : 63,634 = 63,634 : x
2. Step 2: Convert to fraction form
   35,738/63,634 = 63,634/x
3. Step 3: Cross multiply
   35,738x = 63,634 × 63,634
4. Step 4: Simplify right side
   35,738x = 4,049,285,956
5. Step 5: Solve for x
   x = 4,049,285,956/35,738
6. Step 6: Final answer
   x = 113,304.77