Finding the Third Proportional to 14,600 and 31,952

Step by Step Solution

1. Step 1: Write the proportion equation
   14,600 : 31,952 = 31,952 : x
2. Step 2: Convert to fraction form
   14,600/31,952 = 31,952/x
3. Step 3: Cross multiply
   14,600x = 31,952 × 31,952
4. Step 4: Simplify right side
   14,600x = 1,020,930,304
5. Step 5: Solve for x
   x = 1,020,930,304/14,600
6. Step 6: Final answer
   x = 69,926.73