Finding the Third Proportional to 14,846 and 31,634

Step by Step Solution

1. Step 1: Write the proportion equation
   14,846 : 31,634 = 31,634 : x
2. Step 2: Convert to fraction form
   14,846/31,634 = 31,634/x
3. Step 3: Cross multiply
   14,846x = 31,634 × 31,634
4. Step 4: Simplify right side
   14,846x = 1,000,709,956
5. Step 5: Solve for x
   x = 1,000,709,956/14,846
6. Step 6: Final answer
   x = 67,406.03