Finding the Third Proportional to 14,654 and 31,960

Step by Step Solution

1. Step 1: Write the proportion equation
   14,654 : 31,960 = 31,960 : x
2. Step 2: Convert to fraction form
   14,654/31,960 = 31,960/x
3. Step 3: Cross multiply
   14,654x = 31,960 × 31,960
4. Step 4: Simplify right side
   14,654x = 1,021,441,600
5. Step 5: Solve for x
   x = 1,021,441,600/14,654
6. Step 6: Final answer
   x = 69,703.94