Finding the Third Proportional to 31,190 and 63,634

Step by Step Solution

1. Step 1: Write the proportion equation
   31,190 : 63,634 = 63,634 : x
2. Step 2: Convert to fraction form
   31,190/63,634 = 63,634/x
3. Step 3: Cross multiply
   31,190x = 63,634 × 63,634
4. Step 4: Simplify right side
   31,190x = 4,049,285,956
5. Step 5: Solve for x
   x = 4,049,285,956/31,190
6. Step 6: Final answer
   x = 129,826.42